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Finding the Third Proportional to 520,584 and 787,432

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Solution

The third proportional to 520,584 and 787,432 is: 1,191,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,584 : 787,432 = 787,432 : x
  2. Step 2: Convert to fraction form
    520,584/787,432 = 787,432/x
  3. Step 3: Cross multiply
    520,584x = 787,432 × 787,432
  4. Step 4: Simplify right side
    520,584x = 620,049,154,624
  5. Step 5: Solve for x
    x = 620,049,154,624/520,584
  6. Step 6: Final answer
    x = 1,191,064.56

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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.