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Finding the Third Proportional to 133,782.38 and 207,190.13

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Solution

The third proportional to 133,782.38 and 207,190.13 is: 320,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.38 : 207,190.13 = 207,190.13 : x
  2. Step 2: Convert to fraction form
    133,782.38/207,190.13 = 207,190.13/x
  3. Step 3: Cross multiply
    133,782.38x = 207,190.13 × 207,190.13
  4. Step 4: Simplify right side
    133,782.38x = 42,927,747,897.52
  5. Step 5: Solve for x
    x = 42,927,747,897.52/133,782.38
  6. Step 6: Final answer
    x = 320,877.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.