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Finding the Third Proportional to 98,640 and 215,732.25

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Solution

The third proportional to 98,640 and 215,732.25 is: 471,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 215,732.25 = 215,732.25 : x
  2. Step 2: Convert to fraction form
    98,640/215,732.25 = 215,732.25/x
  3. Step 3: Cross multiply
    98,640x = 215,732.25 × 215,732.25
  4. Step 4: Simplify right side
    98,640x = 46,540,403,690.06
  5. Step 5: Solve for x
    x = 46,540,403,690.06/98,640
  6. Step 6: Final answer
    x = 471,820.80

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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.