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Finding the Third Proportional to 216,568.13 and 521,737.88

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Solution

The third proportional to 216,568.13 and 521,737.88 is: 1,256,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,568.13 : 521,737.88 = 521,737.88 : x
  2. Step 2: Convert to fraction form
    216,568.13/521,737.88 = 521,737.88/x
  3. Step 3: Cross multiply
    216,568.13x = 521,737.88 × 521,737.88
  4. Step 4: Simplify right side
    216,568.13x = 272,210,410,209.52
  5. Step 5: Solve for x
    x = 272,210,410,209.52/216,568.13
  6. Step 6: Final answer
    x = 1,256,927.40

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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.