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Finding the Third Proportional to 329,488 and 723,128

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Solution

The third proportional to 329,488 and 723,128 is: 1,587,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,488 : 723,128 = 723,128 : x
  2. Step 2: Convert to fraction form
    329,488/723,128 = 723,128/x
  3. Step 3: Cross multiply
    329,488x = 723,128 × 723,128
  4. Step 4: Simplify right side
    329,488x = 522,914,104,384
  5. Step 5: Solve for x
    x = 522,914,104,384/329,488
  6. Step 6: Final answer
    x = 1,587,050.53

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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.