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Finding the Third Proportional to 98,560.13 and 204,116.63

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Solution

The third proportional to 98,560.13 and 204,116.63 is: 422,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,560.13 : 204,116.63 = 204,116.63 : x
  2. Step 2: Convert to fraction form
    98,560.13/204,116.63 = 204,116.63/x
  3. Step 3: Cross multiply
    98,560.13x = 204,116.63 × 204,116.63
  4. Step 4: Simplify right side
    98,560.13x = 41,663,596,601.39
  5. Step 5: Solve for x
    x = 41,663,596,601.39/98,560.13
  6. Step 6: Final answer
    x = 422,722.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.