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Finding the Third Proportional to 156,421,722 and 213,019,686

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Solution

The third proportional to 156,421,722 and 213,019,686 is: 290,096,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,421,722 : 213,019,686 = 213,019,686 : x
  2. Step 2: Convert to fraction form
    156,421,722/213,019,686 = 213,019,686/x
  3. Step 3: Cross multiply
    156,421,722x = 213,019,686 × 213,019,686
  4. Step 4: Simplify right side
    156,421,722x = 45,377,386,623,538,592
  5. Step 5: Solve for x
    x = 45,377,386,623,538,592/156,421,722
  6. Step 6: Final answer
    x = 290,096,452.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.