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Finding the Third Proportional to 77,727 and 205,713.75

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Solution

The third proportional to 77,727 and 205,713.75 is: 544,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,727 : 205,713.75 = 205,713.75 : x
  2. Step 2: Convert to fraction form
    77,727/205,713.75 = 205,713.75/x
  3. Step 3: Cross multiply
    77,727x = 205,713.75 × 205,713.75
  4. Step 4: Simplify right side
    77,727x = 42,318,146,939.06
  5. Step 5: Solve for x
    x = 42,318,146,939.06/77,727
  6. Step 6: Final answer
    x = 544,445.91

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.