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Finding the Third Proportional to 498,356 and 753,479

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Solution

The third proportional to 498,356 and 753,479 is: 1,139,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,356 : 753,479 = 753,479 : x
  2. Step 2: Convert to fraction form
    498,356/753,479 = 753,479/x
  3. Step 3: Cross multiply
    498,356x = 753,479 × 753,479
  4. Step 4: Simplify right side
    498,356x = 567,730,603,441
  5. Step 5: Solve for x
    x = 567,730,603,441/498,356
  6. Step 6: Final answer
    x = 1,139,206.92

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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.