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Finding the Third Proportional to 292,644 and 397,476

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Solution

The third proportional to 292,644 and 397,476 is: 539,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,644 : 397,476 = 397,476 : x
  2. Step 2: Convert to fraction form
    292,644/397,476 = 397,476/x
  3. Step 3: Cross multiply
    292,644x = 397,476 × 397,476
  4. Step 4: Simplify right side
    292,644x = 157,987,170,576
  5. Step 5: Solve for x
    x = 157,987,170,576/292,644
  6. Step 6: Final answer
    x = 539,861.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.