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Finding the Third Proportional to 156,940 and 386,971

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Solution

The third proportional to 156,940 and 386,971 is: 954,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 386,971 = 386,971 : x
  2. Step 2: Convert to fraction form
    156,940/386,971 = 386,971/x
  3. Step 3: Cross multiply
    156,940x = 386,971 × 386,971
  4. Step 4: Simplify right side
    156,940x = 149,746,554,841
  5. Step 5: Solve for x
    x = 149,746,554,841/156,940
  6. Step 6: Final answer
    x = 954,164.36

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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.