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Finding the Third Proportional to 257,995.13 and 547,210.69

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Solution

The third proportional to 257,995.13 and 547,210.69 is: 1,160,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,995.13 : 547,210.69 = 547,210.69 : x
  2. Step 2: Convert to fraction form
    257,995.13/547,210.69 = 547,210.69/x
  3. Step 3: Cross multiply
    257,995.13x = 547,210.69 × 547,210.69
  4. Step 4: Simplify right side
    257,995.13x = 299,439,536,514.22
  5. Step 5: Solve for x
    x = 299,439,536,514.22/257,995.13
  6. Step 6: Final answer
    x = 1,160,640.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.