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Finding the Third Proportional to 93,585.80 and 140,333.13

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Solution

The third proportional to 93,585.80 and 140,333.13 is: 210,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,585.80 : 140,333.13 = 140,333.13 : x
  2. Step 2: Convert to fraction form
    93,585.80/140,333.13 = 140,333.13/x
  3. Step 3: Cross multiply
    93,585.80x = 140,333.13 × 140,333.13
  4. Step 4: Simplify right side
    93,585.80x = 19,693,388,164.97
  5. Step 5: Solve for x
    x = 19,693,388,164.97/93,585.80
  6. Step 6: Final answer
    x = 210,431.38

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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.