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Finding the Third Proportional to 78,950.95 and 121,355.09

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Solution

The third proportional to 78,950.95 and 121,355.09 is: 186,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,950.95 : 121,355.09 = 121,355.09 : x
  2. Step 2: Convert to fraction form
    78,950.95/121,355.09 = 121,355.09/x
  3. Step 3: Cross multiply
    78,950.95x = 121,355.09 × 121,355.09
  4. Step 4: Simplify right side
    78,950.95x = 14,727,056,882.90
  5. Step 5: Solve for x
    x = 14,727,056,882.90/78,950.95
  6. Step 6: Final answer
    x = 186,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.