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Finding the Third Proportional to 216,566.16 and 521,732.39

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Solution

The third proportional to 216,566.16 and 521,732.39 is: 1,256,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,566.16 : 521,732.39 = 521,732.39 : x
  2. Step 2: Convert to fraction form
    216,566.16/521,732.39 = 521,732.39/x
  3. Step 3: Cross multiply
    216,566.16x = 521,732.39 × 521,732.39
  4. Step 4: Simplify right side
    216,566.16x = 272,204,687,427.28
  5. Step 5: Solve for x
    x = 272,204,687,427.28/216,566.16
  6. Step 6: Final answer
    x = 1,256,912.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.