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Finding the Third Proportional to 423,436 and 658,482

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Solution

The third proportional to 423,436 and 658,482 is: 1,024,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,436 : 658,482 = 658,482 : x
  2. Step 2: Convert to fraction form
    423,436/658,482 = 658,482/x
  3. Step 3: Cross multiply
    423,436x = 658,482 × 658,482
  4. Step 4: Simplify right side
    423,436x = 433,598,544,324
  5. Step 5: Solve for x
    x = 433,598,544,324/423,436
  6. Step 6: Final answer
    x = 1,024,000.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.