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Finding the Third Proportional to 133,831.13 and 197,047.13

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Solution

The third proportional to 133,831.13 and 197,047.13 is: 290,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,831.13 : 197,047.13 = 197,047.13 : x
  2. Step 2: Convert to fraction form
    133,831.13/197,047.13 = 197,047.13/x
  3. Step 3: Cross multiply
    133,831.13x = 197,047.13 × 197,047.13
  4. Step 4: Simplify right side
    133,831.13x = 38,827,569,470.77
  5. Step 5: Solve for x
    x = 38,827,569,470.77/133,831.13
  6. Step 6: Final answer
    x = 290,123.61

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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.