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Finding the Third Proportional to 98,680.78 and 216,140.91

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Solution

The third proportional to 98,680.78 and 216,140.91 is: 473,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,680.78 : 216,140.91 = 216,140.91 : x
  2. Step 2: Convert to fraction form
    98,680.78/216,140.91 = 216,140.91/x
  3. Step 3: Cross multiply
    98,680.78x = 216,140.91 × 216,140.91
  4. Step 4: Simplify right side
    98,680.78x = 46,716,891,354.57
  5. Step 5: Solve for x
    x = 46,716,891,354.57/98,680.78
  6. Step 6: Final answer
    x = 473,414.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.