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Finding the Third Proportional to 288,294 and 663,582

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Solution

The third proportional to 288,294 and 663,582 is: 1,527,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,294 : 663,582 = 663,582 : x
  2. Step 2: Convert to fraction form
    288,294/663,582 = 663,582/x
  3. Step 3: Cross multiply
    288,294x = 663,582 × 663,582
  4. Step 4: Simplify right side
    288,294x = 440,341,070,724
  5. Step 5: Solve for x
    x = 440,341,070,724/288,294
  6. Step 6: Final answer
    x = 1,527,402.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.