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Finding the Third Proportional to 347,128 and 721,904

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Solution

The third proportional to 347,128 and 721,904 is: 1,501,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,128 : 721,904 = 721,904 : x
  2. Step 2: Convert to fraction form
    347,128/721,904 = 721,904/x
  3. Step 3: Cross multiply
    347,128x = 721,904 × 721,904
  4. Step 4: Simplify right side
    347,128x = 521,145,385,216
  5. Step 5: Solve for x
    x = 521,145,385,216/347,128
  6. Step 6: Final answer
    x = 1,501,306.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.