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Finding the Third Proportional to 91,191.45 and 145,681.03

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Solution

The third proportional to 91,191.45 and 145,681.03 is: 232,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,191.45 : 145,681.03 = 145,681.03 : x
  2. Step 2: Convert to fraction form
    91,191.45/145,681.03 = 145,681.03/x
  3. Step 3: Cross multiply
    91,191.45x = 145,681.03 × 145,681.03
  4. Step 4: Simplify right side
    91,191.45x = 21,222,962,866.06
  5. Step 5: Solve for x
    x = 21,222,962,866.06/91,191.45
  6. Step 6: Final answer
    x = 232,729.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.