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Finding the Third Proportional to 503,445 and 762,480

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Solution

The third proportional to 503,445 and 762,480 is: 1,154,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,445 : 762,480 = 762,480 : x
  2. Step 2: Convert to fraction form
    503,445/762,480 = 762,480/x
  3. Step 3: Cross multiply
    503,445x = 762,480 × 762,480
  4. Step 4: Simplify right side
    503,445x = 581,375,750,400
  5. Step 5: Solve for x
    x = 581,375,750,400/503,445
  6. Step 6: Final answer
    x = 1,154,794.96

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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.