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Finding the Third Proportional to 177,464 and 390,632

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Solution

The third proportional to 177,464 and 390,632 is: 859,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,464 : 390,632 = 390,632 : x
  2. Step 2: Convert to fraction form
    177,464/390,632 = 390,632/x
  3. Step 3: Cross multiply
    177,464x = 390,632 × 390,632
  4. Step 4: Simplify right side
    177,464x = 152,593,359,424
  5. Step 5: Solve for x
    x = 152,593,359,424/177,464
  6. Step 6: Final answer
    x = 859,855.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.