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Finding the Third Proportional to 520,552 and 787,389

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Solution

The third proportional to 520,552 and 787,389 is: 1,191,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,552 : 787,389 = 787,389 : x
  2. Step 2: Convert to fraction form
    520,552/787,389 = 787,389/x
  3. Step 3: Cross multiply
    520,552x = 787,389 × 787,389
  4. Step 4: Simplify right side
    520,552x = 619,981,437,321
  5. Step 5: Solve for x
    x = 619,981,437,321/520,552
  6. Step 6: Final answer
    x = 1,191,007.69

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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.