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Finding the Third Proportional to 121,064 and 187,892

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Solution

The third proportional to 121,064 and 187,892 is: 291,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,064 : 187,892 = 187,892 : x
  2. Step 2: Convert to fraction form
    121,064/187,892 = 187,892/x
  3. Step 3: Cross multiply
    121,064x = 187,892 × 187,892
  4. Step 4: Simplify right side
    121,064x = 35,303,403,664
  5. Step 5: Solve for x
    x = 35,303,403,664/121,064
  6. Step 6: Final answer
    x = 291,609.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.