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Finding the Third Proportional to 332,428 and 497,310

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Solution

The third proportional to 332,428 and 497,310 is: 743,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,428 : 497,310 = 497,310 : x
  2. Step 2: Convert to fraction form
    332,428/497,310 = 497,310/x
  3. Step 3: Cross multiply
    332,428x = 497,310 × 497,310
  4. Step 4: Simplify right side
    332,428x = 247,317,236,100
  5. Step 5: Solve for x
    x = 247,317,236,100/332,428
  6. Step 6: Final answer
    x = 743,972.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.