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Finding the Third Proportional to 78,139.69 and 120,457.13

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Solution

The third proportional to 78,139.69 and 120,457.13 is: 185,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,139.69 : 120,457.13 = 120,457.13 : x
  2. Step 2: Convert to fraction form
    78,139.69/120,457.13 = 120,457.13/x
  3. Step 3: Cross multiply
    78,139.69x = 120,457.13 × 120,457.13
  4. Step 4: Simplify right side
    78,139.69x = 14,509,918,963.27
  5. Step 5: Solve for x
    x = 14,509,918,963.27/78,139.69
  6. Step 6: Final answer
    x = 185,692.05

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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.