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Finding the Third Proportional to 89,702.02 and 138,894.19

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Solution

The third proportional to 89,702.02 and 138,894.19 is: 215,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,702.02 : 138,894.19 = 138,894.19 : x
  2. Step 2: Convert to fraction form
    89,702.02/138,894.19 = 138,894.19/x
  3. Step 3: Cross multiply
    89,702.02x = 138,894.19 × 138,894.19
  4. Step 4: Simplify right side
    89,702.02x = 19,291,595,321.29
  5. Step 5: Solve for x
    x = 19,291,595,321.29/89,702.02
  6. Step 6: Final answer
    x = 215,063.12

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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.