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Finding the Third Proportional to 310,564 and 658,712

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Solution

The third proportional to 310,564 and 658,712 is: 1,397,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564 : 658,712 = 658,712 : x
  2. Step 2: Convert to fraction form
    310,564/658,712 = 658,712/x
  3. Step 3: Cross multiply
    310,564x = 658,712 × 658,712
  4. Step 4: Simplify right side
    310,564x = 433,901,498,944
  5. Step 5: Solve for x
    x = 433,901,498,944/310,564
  6. Step 6: Final answer
    x = 1,397,140.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.