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Finding the Third Proportional to 399,280 and 598,304

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Solution

The third proportional to 399,280 and 598,304 is: 896,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,280 : 598,304 = 598,304 : x
  2. Step 2: Convert to fraction form
    399,280/598,304 = 598,304/x
  3. Step 3: Cross multiply
    399,280x = 598,304 × 598,304
  4. Step 4: Simplify right side
    399,280x = 357,967,676,416
  5. Step 5: Solve for x
    x = 357,967,676,416/399,280
  6. Step 6: Final answer
    x = 896,532.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.