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Finding the Third Proportional to 344,685 and 729,113

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Solution

The third proportional to 344,685 and 729,113 is: 1,542,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,685 : 729,113 = 729,113 : x
  2. Step 2: Convert to fraction form
    344,685/729,113 = 729,113/x
  3. Step 3: Cross multiply
    344,685x = 729,113 × 729,113
  4. Step 4: Simplify right side
    344,685x = 531,605,766,769
  5. Step 5: Solve for x
    x = 531,605,766,769/344,685
  6. Step 6: Final answer
    x = 1,542,294.46

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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.