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Finding the Third Proportional to 91,413.56 and 134,475.19

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Solution

The third proportional to 91,413.56 and 134,475.19 is: 197,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,413.56 : 134,475.19 = 134,475.19 : x
  2. Step 2: Convert to fraction form
    91,413.56/134,475.19 = 134,475.19/x
  3. Step 3: Cross multiply
    91,413.56x = 134,475.19 × 134,475.19
  4. Step 4: Simplify right side
    91,413.56x = 18,083,576,053.16
  5. Step 5: Solve for x
    x = 18,083,576,053.16/91,413.56
  6. Step 6: Final answer
    x = 197,821.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.