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Finding the Third Proportional to 332,602 and 729,588

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Solution

The third proportional to 332,602 and 729,588 is: 1,600,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,602 : 729,588 = 729,588 : x
  2. Step 2: Convert to fraction form
    332,602/729,588 = 729,588/x
  3. Step 3: Cross multiply
    332,602x = 729,588 × 729,588
  4. Step 4: Simplify right side
    332,602x = 532,298,649,744
  5. Step 5: Solve for x
    x = 532,298,649,744/332,602
  6. Step 6: Final answer
    x = 1,600,407.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.