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Finding the Third Proportional to 265.13 and 567.38

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Solution

The third proportional to 265.13 and 567.38 is: 1,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.13 : 567.38 = 567.38 : x
  2. Step 2: Convert to fraction form
    265.13/567.38 = 567.38/x
  3. Step 3: Cross multiply
    265.13x = 567.38 × 567.38
  4. Step 4: Simplify right side
    265.13x = 321,914.39
  5. Step 5: Solve for x
    x = 321,914.39/265.13
  6. Step 6: Final answer
    x = 1,214.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.