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Finding the Third Proportional to 78,154.88 and 105,902.44

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Solution

The third proportional to 78,154.88 and 105,902.44 is: 143,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.88 : 105,902.44 = 105,902.44 : x
  2. Step 2: Convert to fraction form
    78,154.88/105,902.44 = 105,902.44/x
  3. Step 3: Cross multiply
    78,154.88x = 105,902.44 × 105,902.44
  4. Step 4: Simplify right side
    78,154.88x = 11,215,326,268.44
  5. Step 5: Solve for x
    x = 11,215,326,268.44/78,154.88
  6. Step 6: Final answer
    x = 143,501.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.