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Finding the Third Proportional to 78,412.50 and 169,785

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Solution

The third proportional to 78,412.50 and 169,785 is: 367,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.50 : 169,785 = 169,785 : x
  2. Step 2: Convert to fraction form
    78,412.50/169,785 = 169,785/x
  3. Step 3: Cross multiply
    78,412.50x = 169,785 × 169,785
  4. Step 4: Simplify right side
    78,412.50x = 28,826,946,225
  5. Step 5: Solve for x
    x = 28,826,946,225/78,412.50
  6. Step 6: Final answer
    x = 367,632.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.