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Finding the Third Proportional to 488,290 and 746,508

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Solution

The third proportional to 488,290 and 746,508 is: 1,141,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,290 : 746,508 = 746,508 : x
  2. Step 2: Convert to fraction form
    488,290/746,508 = 746,508/x
  3. Step 3: Cross multiply
    488,290x = 746,508 × 746,508
  4. Step 4: Simplify right side
    488,290x = 557,274,194,064
  5. Step 5: Solve for x
    x = 557,274,194,064/488,290
  6. Step 6: Final answer
    x = 1,141,277.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.