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Finding the Third Proportional to 504,524 and 781,218

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Solution

The third proportional to 504,524 and 781,218 is: 1,209,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,524 : 781,218 = 781,218 : x
  2. Step 2: Convert to fraction form
    504,524/781,218 = 781,218/x
  3. Step 3: Cross multiply
    504,524x = 781,218 × 781,218
  4. Step 4: Simplify right side
    504,524x = 610,301,563,524
  5. Step 5: Solve for x
    x = 610,301,563,524/504,524
  6. Step 6: Final answer
    x = 1,209,658.14

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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.