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Finding the Third Proportional to 94,126.50 and 141,397.88

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Solution

The third proportional to 94,126.50 and 141,397.88 is: 212,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,126.50 : 141,397.88 = 141,397.88 : x
  2. Step 2: Convert to fraction form
    94,126.50/141,397.88 = 141,397.88/x
  3. Step 3: Cross multiply
    94,126.50x = 141,397.88 × 141,397.88
  4. Step 4: Simplify right side
    94,126.50x = 19,993,359,054.52
  5. Step 5: Solve for x
    x = 19,993,359,054.52/94,126.50
  6. Step 6: Final answer
    x = 212,409.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.