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Finding the Third Proportional to 81,000.63 and 109,042.45

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Solution

The third proportional to 81,000.63 and 109,042.45 is: 146,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000.63 : 109,042.45 = 109,042.45 : x
  2. Step 2: Convert to fraction form
    81,000.63/109,042.45 = 109,042.45/x
  3. Step 3: Cross multiply
    81,000.63x = 109,042.45 × 109,042.45
  4. Step 4: Simplify right side
    81,000.63x = 11,890,256,583.52
  5. Step 5: Solve for x
    x = 11,890,256,583.52/81,000.63
  6. Step 6: Final answer
    x = 146,792.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.