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Finding the Third Proportional to 64,140.75 and 136,585.13

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Solution

The third proportional to 64,140.75 and 136,585.13 is: 290,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,140.75 : 136,585.13 = 136,585.13 : x
  2. Step 2: Convert to fraction form
    64,140.75/136,585.13 = 136,585.13/x
  3. Step 3: Cross multiply
    64,140.75x = 136,585.13 × 136,585.13
  4. Step 4: Simplify right side
    64,140.75x = 18,655,496,371.27
  5. Step 5: Solve for x
    x = 18,655,496,371.27/64,140.75
  6. Step 6: Final answer
    x = 290,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.