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Finding the Third Proportional to 504,778 and 781,479

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Solution

The third proportional to 504,778 and 781,479 is: 1,209,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,778 : 781,479 = 781,479 : x
  2. Step 2: Convert to fraction form
    504,778/781,479 = 781,479/x
  3. Step 3: Cross multiply
    504,778x = 781,479 × 781,479
  4. Step 4: Simplify right side
    504,778x = 610,709,427,441
  5. Step 5: Solve for x
    x = 610,709,427,441/504,778
  6. Step 6: Final answer
    x = 1,209,857.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.