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Finding the Third Proportional to 156,912 and 340,032

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Solution

The third proportional to 156,912 and 340,032 is: 736,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 340,032 = 340,032 : x
  2. Step 2: Convert to fraction form
    156,912/340,032 = 340,032/x
  3. Step 3: Cross multiply
    156,912x = 340,032 × 340,032
  4. Step 4: Simplify right side
    156,912x = 115,621,761,024
  5. Step 5: Solve for x
    x = 115,621,761,024/156,912
  6. Step 6: Final answer
    x = 736,857.35

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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.