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Finding the Third Proportional to 291,278 and 632,380

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Solution

The third proportional to 291,278 and 632,380 is: 1,372,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,278 : 632,380 = 632,380 : x
  2. Step 2: Convert to fraction form
    291,278/632,380 = 632,380/x
  3. Step 3: Cross multiply
    291,278x = 632,380 × 632,380
  4. Step 4: Simplify right side
    291,278x = 399,904,464,400
  5. Step 5: Solve for x
    x = 399,904,464,400/291,278
  6. Step 6: Final answer
    x = 1,372,930.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.