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Finding the Third Proportional to 133,978 and 207,359

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Solution

The third proportional to 133,978 and 207,359 is: 320,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978 : 207,359 = 207,359 : x
  2. Step 2: Convert to fraction form
    133,978/207,359 = 207,359/x
  3. Step 3: Cross multiply
    133,978x = 207,359 × 207,359
  4. Step 4: Simplify right side
    133,978x = 42,997,754,881
  5. Step 5: Solve for x
    x = 42,997,754,881/133,978
  6. Step 6: Final answer
    x = 320,931.46

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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.