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Finding the Third Proportional to 329,070 and 497,655

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Solution

The third proportional to 329,070 and 497,655 is: 752,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,070 : 497,655 = 497,655 : x
  2. Step 2: Convert to fraction form
    329,070/497,655 = 497,655/x
  3. Step 3: Cross multiply
    329,070x = 497,655 × 497,655
  4. Step 4: Simplify right side
    329,070x = 247,660,499,025
  5. Step 5: Solve for x
    x = 247,660,499,025/329,070
  6. Step 6: Final answer
    x = 752,607.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.