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Finding the Third Proportional to 115,655 and 169,090

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Solution

The third proportional to 115,655 and 169,090 is: 247,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,655 : 169,090 = 169,090 : x
  2. Step 2: Convert to fraction form
    115,655/169,090 = 169,090/x
  3. Step 3: Cross multiply
    115,655x = 169,090 × 169,090
  4. Step 4: Simplify right side
    115,655x = 28,591,428,100
  5. Step 5: Solve for x
    x = 28,591,428,100/115,655
  6. Step 6: Final answer
    x = 247,213.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.