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Finding the Third Proportional to 295,912 and 457,680

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Solution

The third proportional to 295,912 and 457,680 is: 707,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,912 : 457,680 = 457,680 : x
  2. Step 2: Convert to fraction form
    295,912/457,680 = 457,680/x
  3. Step 3: Cross multiply
    295,912x = 457,680 × 457,680
  4. Step 4: Simplify right side
    295,912x = 209,470,982,400
  5. Step 5: Solve for x
    x = 209,470,982,400/295,912
  6. Step 6: Final answer
    x = 707,882.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.