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Finding the Third Proportional to 91,448 and 134,712

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Solution

The third proportional to 91,448 and 134,712 is: 198,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,448 : 134,712 = 134,712 : x
  2. Step 2: Convert to fraction form
    91,448/134,712 = 134,712/x
  3. Step 3: Cross multiply
    91,448x = 134,712 × 134,712
  4. Step 4: Simplify right side
    91,448x = 18,147,322,944
  5. Step 5: Solve for x
    x = 18,147,322,944/91,448
  6. Step 6: Final answer
    x = 198,444.18

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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.