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Finding the Third Proportional to 306,792 and 672,624

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Solution

The third proportional to 306,792 and 672,624 is: 1,474,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,792 : 672,624 = 672,624 : x
  2. Step 2: Convert to fraction form
    306,792/672,624 = 672,624/x
  3. Step 3: Cross multiply
    306,792x = 672,624 × 672,624
  4. Step 4: Simplify right side
    306,792x = 452,423,045,376
  5. Step 5: Solve for x
    x = 452,423,045,376/306,792
  6. Step 6: Final answer
    x = 1,474,689.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.