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Finding the Third Proportional to 384,552 and 813,432

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Solution

The third proportional to 384,552 and 813,432 is: 1,720,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,552 : 813,432 = 813,432 : x
  2. Step 2: Convert to fraction form
    384,552/813,432 = 813,432/x
  3. Step 3: Cross multiply
    384,552x = 813,432 × 813,432
  4. Step 4: Simplify right side
    384,552x = 661,671,618,624
  5. Step 5: Solve for x
    x = 661,671,618,624/384,552
  6. Step 6: Final answer
    x = 1,720,629.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.