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Finding the Third Proportional to 78,135 and 120,444.75

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Solution

The third proportional to 78,135 and 120,444.75 is: 185,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135 : 120,444.75 = 120,444.75 : x
  2. Step 2: Convert to fraction form
    78,135/120,444.75 = 120,444.75/x
  3. Step 3: Cross multiply
    78,135x = 120,444.75 × 120,444.75
  4. Step 4: Simplify right side
    78,135x = 14,506,937,802.56
  5. Step 5: Solve for x
    x = 14,506,937,802.56/78,135
  6. Step 6: Final answer
    x = 185,665.04

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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.