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Finding the Third Proportional to 385,158 and 563,474

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Solution

The third proportional to 385,158 and 563,474 is: 824,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,158 : 563,474 = 563,474 : x
  2. Step 2: Convert to fraction form
    385,158/563,474 = 563,474/x
  3. Step 3: Cross multiply
    385,158x = 563,474 × 563,474
  4. Step 4: Simplify right side
    385,158x = 317,502,948,676
  5. Step 5: Solve for x
    x = 317,502,948,676/385,158
  6. Step 6: Final answer
    x = 824,344.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.