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Finding the Third Proportional to 156,943 and 386,982

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Solution

The third proportional to 156,943 and 386,982 is: 954,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943 : 386,982 = 386,982 : x
  2. Step 2: Convert to fraction form
    156,943/386,982 = 386,982/x
  3. Step 3: Cross multiply
    156,943x = 386,982 × 386,982
  4. Step 4: Simplify right side
    156,943x = 149,755,068,324
  5. Step 5: Solve for x
    x = 149,755,068,324/156,943
  6. Step 6: Final answer
    x = 954,200.37

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.