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Finding the Third Proportional to 54,415.13 and 77,064.75

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Solution

The third proportional to 54,415.13 and 77,064.75 is: 109,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.13 : 77,064.75 = 77,064.75 : x
  2. Step 2: Convert to fraction form
    54,415.13/77,064.75 = 77,064.75/x
  3. Step 3: Cross multiply
    54,415.13x = 77,064.75 × 77,064.75
  4. Step 4: Simplify right side
    54,415.13x = 5,938,975,692.56
  5. Step 5: Solve for x
    x = 5,938,975,692.56/54,415.13
  6. Step 6: Final answer
    x = 109,142.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.