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Finding the Third Proportional to 265.11 and 572.89

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Solution

The third proportional to 265.11 and 572.89 is: 1,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.11 : 572.89 = 572.89 : x
  2. Step 2: Convert to fraction form
    265.11/572.89 = 572.89/x
  3. Step 3: Cross multiply
    265.11x = 572.89 × 572.89
  4. Step 4: Simplify right side
    265.11x = 328,206.47
  5. Step 5: Solve for x
    x = 328,206.47/265.11
  6. Step 6: Final answer
    x = 1,238.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.