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Finding the Third Proportional to 347,140 and 721,924

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Solution

The third proportional to 347,140 and 721,924 is: 1,501,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,140 : 721,924 = 721,924 : x
  2. Step 2: Convert to fraction form
    347,140/721,924 = 721,924/x
  3. Step 3: Cross multiply
    347,140x = 721,924 × 721,924
  4. Step 4: Simplify right side
    347,140x = 521,174,261,776
  5. Step 5: Solve for x
    x = 521,174,261,776/347,140
  6. Step 6: Final answer
    x = 1,501,337.39

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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.