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Finding the Third Proportional to 25,278 and 40,377

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Solution

The third proportional to 25,278 and 40,377 is: 64,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278 : 40,377 = 40,377 : x
  2. Step 2: Convert to fraction form
    25,278/40,377 = 40,377/x
  3. Step 3: Cross multiply
    25,278x = 40,377 × 40,377
  4. Step 4: Simplify right side
    25,278x = 1,630,302,129
  5. Step 5: Solve for x
    x = 1,630,302,129/25,278
  6. Step 6: Final answer
    x = 64,494.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.