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Finding the Third Proportional to 506,380 and 787,218

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Solution

The third proportional to 506,380 and 787,218 is: 1,223,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,380 : 787,218 = 787,218 : x
  2. Step 2: Convert to fraction form
    506,380/787,218 = 787,218/x
  3. Step 3: Cross multiply
    506,380x = 787,218 × 787,218
  4. Step 4: Simplify right side
    506,380x = 619,712,179,524
  5. Step 5: Solve for x
    x = 619,712,179,524/506,380
  6. Step 6: Final answer
    x = 1,223,808.56

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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.