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Finding the Third Proportional to 91,005.75 and 137,782.13

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Solution

The third proportional to 91,005.75 and 137,782.13 is: 208,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,005.75 : 137,782.13 = 137,782.13 : x
  2. Step 2: Convert to fraction form
    91,005.75/137,782.13 = 137,782.13/x
  3. Step 3: Cross multiply
    91,005.75x = 137,782.13 × 137,782.13
  4. Step 4: Simplify right side
    91,005.75x = 18,983,913,969.52
  5. Step 5: Solve for x
    x = 18,983,913,969.52/91,005.75
  6. Step 6: Final answer
    x = 208,601.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.