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Finding the Third Proportional to 307,460 and 392,862

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Solution

The third proportional to 307,460 and 392,862 is: 501,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,460 : 392,862 = 392,862 : x
  2. Step 2: Convert to fraction form
    307,460/392,862 = 392,862/x
  3. Step 3: Cross multiply
    307,460x = 392,862 × 392,862
  4. Step 4: Simplify right side
    307,460x = 154,340,551,044
  5. Step 5: Solve for x
    x = 154,340,551,044/307,460
  6. Step 6: Final answer
    x = 501,985.79

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.