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Finding the Third Proportional to 120,609 and 177,417

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Solution

The third proportional to 120,609 and 177,417 is: 260,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,609 : 177,417 = 177,417 : x
  2. Step 2: Convert to fraction form
    120,609/177,417 = 177,417/x
  3. Step 3: Cross multiply
    120,609x = 177,417 × 177,417
  4. Step 4: Simplify right side
    120,609x = 31,476,791,889
  5. Step 5: Solve for x
    x = 31,476,791,889/120,609
  6. Step 6: Final answer
    x = 260,982.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.