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Finding the Third Proportional to 177,569 and 390,129

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Solution

The third proportional to 177,569 and 390,129 is: 857,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,569 : 390,129 = 390,129 : x
  2. Step 2: Convert to fraction form
    177,569/390,129 = 390,129/x
  3. Step 3: Cross multiply
    177,569x = 390,129 × 390,129
  4. Step 4: Simplify right side
    177,569x = 152,200,636,641
  5. Step 5: Solve for x
    x = 152,200,636,641/177,569
  6. Step 6: Final answer
    x = 857,135.18

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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.