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Finding the Third Proportional to 265.78 and 373.36

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Solution

The third proportional to 265.78 and 373.36 is: 524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 373.36 = 373.36 : x
  2. Step 2: Convert to fraction form
    265.78/373.36 = 373.36/x
  3. Step 3: Cross multiply
    265.78x = 373.36 × 373.36
  4. Step 4: Simplify right side
    265.78x = 139,397.22
  5. Step 5: Solve for x
    x = 139,397.22/265.78
  6. Step 6: Final answer
    x = 524.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.