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Finding the Third Proportional to 140,438 and 292,544

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Solution

The third proportional to 140,438 and 292,544 is: 609,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,438 : 292,544 = 292,544 : x
  2. Step 2: Convert to fraction form
    140,438/292,544 = 292,544/x
  3. Step 3: Cross multiply
    140,438x = 292,544 × 292,544
  4. Step 4: Simplify right side
    140,438x = 85,581,991,936
  5. Step 5: Solve for x
    x = 85,581,991,936/140,438
  6. Step 6: Final answer
    x = 609,393.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.