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Finding the Third Proportional to 156,220,137,978 and 339,071,847,360

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Solution

The third proportional to 156,220,137,978 and 339,071,847,360 is: 735,946,845,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,220,137,978 : 339,071,847,360 = 339,071,847,360 : x
  2. Step 2: Convert to fraction form
    156,220,137,978/339,071,847,360 = 339,071,847,360/x
  3. Step 3: Cross multiply
    156,220,137,978x = 339,071,847,360 × 339,071,847,360
  4. Step 4: Simplify right side
    156,220,137,978x = 114,969,717,672,123,144,601,600
  5. Step 5: Solve for x
    x = 114,969,717,672,123,144,601,600/156,220,137,978
  6. Step 6: Final answer
    x = 735,946,845,011.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.