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Finding the Third Proportional to 52,261.13 and 78,881.44

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Solution

The third proportional to 52,261.13 and 78,881.44 is: 119,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,261.13 : 78,881.44 = 78,881.44 : x
  2. Step 2: Convert to fraction form
    52,261.13/78,881.44 = 78,881.44/x
  3. Step 3: Cross multiply
    52,261.13x = 78,881.44 × 78,881.44
  4. Step 4: Simplify right side
    52,261.13x = 6,222,281,182.07
  5. Step 5: Solve for x
    x = 6,222,281,182.07/52,261.13
  6. Step 6: Final answer
    x = 119,061.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.