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Finding the Third Proportional to 136,090 and 177,890

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Solution

The third proportional to 136,090 and 177,890 is: 232,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,090 : 177,890 = 177,890 : x
  2. Step 2: Convert to fraction form
    136,090/177,890 = 177,890/x
  3. Step 3: Cross multiply
    136,090x = 177,890 × 177,890
  4. Step 4: Simplify right side
    136,090x = 31,644,852,100
  5. Step 5: Solve for x
    x = 31,644,852,100/136,090
  6. Step 6: Final answer
    x = 232,528.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.