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Finding the Third Proportional to 289,397 and 625,582

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Solution

The third proportional to 289,397 and 625,582 is: 1,352,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,397 : 625,582 = 625,582 : x
  2. Step 2: Convert to fraction form
    289,397/625,582 = 625,582/x
  3. Step 3: Cross multiply
    289,397x = 625,582 × 625,582
  4. Step 4: Simplify right side
    289,397x = 391,352,838,724
  5. Step 5: Solve for x
    x = 391,352,838,724/289,397
  6. Step 6: Final answer
    x = 1,352,304.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.