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Finding the Third Proportional to 78,240.19 and 168,952.69

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Solution

The third proportional to 78,240.19 and 168,952.69 is: 364,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.19 : 168,952.69 = 168,952.69 : x
  2. Step 2: Convert to fraction form
    78,240.19/168,952.69 = 168,952.69/x
  3. Step 3: Cross multiply
    78,240.19x = 168,952.69 × 168,952.69
  4. Step 4: Simplify right side
    78,240.19x = 28,545,010,613.47
  5. Step 5: Solve for x
    x = 28,545,010,613.47/78,240.19
  6. Step 6: Final answer
    x = 364,838.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.