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Finding the Third Proportional to 91,009.13 and 133,050.38

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Solution

The third proportional to 91,009.13 and 133,050.38 is: 194,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,009.13 : 133,050.38 = 133,050.38 : x
  2. Step 2: Convert to fraction form
    91,009.13/133,050.38 = 133,050.38/x
  3. Step 3: Cross multiply
    91,009.13x = 133,050.38 × 133,050.38
  4. Step 4: Simplify right side
    91,009.13x = 17,702,402,287.64
  5. Step 5: Solve for x
    x = 17,702,402,287.64/91,009.13
  6. Step 6: Final answer
    x = 194,512.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.