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Finding the Third Proportional to 78,065.65 and 116,884.90

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Solution

The third proportional to 78,065.65 and 116,884.90 is: 175,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.65 : 116,884.90 = 116,884.90 : x
  2. Step 2: Convert to fraction form
    78,065.65/116,884.90 = 116,884.90/x
  3. Step 3: Cross multiply
    78,065.65x = 116,884.90 × 116,884.90
  4. Step 4: Simplify right side
    78,065.65x = 13,662,079,482.74
  5. Step 5: Solve for x
    x = 13,662,079,482.74/78,065.65
  6. Step 6: Final answer
    x = 175,007.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.