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Finding the Third Proportional to 114,766.88 and 161,330.06

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Solution

The third proportional to 114,766.88 and 161,330.06 is: 226,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,766.88 : 161,330.06 = 161,330.06 : x
  2. Step 2: Convert to fraction form
    114,766.88/161,330.06 = 161,330.06/x
  3. Step 3: Cross multiply
    114,766.88x = 161,330.06 × 161,330.06
  4. Step 4: Simplify right side
    114,766.88x = 26,027,389,066.25
  5. Step 5: Solve for x
    x = 26,027,389,066.25/114,766.88
  6. Step 6: Final answer
    x = 226,784.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.