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Finding the Third Proportional to 199,478 and 291,502

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Solution

The third proportional to 199,478 and 291,502 is: 425,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,478 : 291,502 = 291,502 : x
  2. Step 2: Convert to fraction form
    199,478/291,502 = 291,502/x
  3. Step 3: Cross multiply
    199,478x = 291,502 × 291,502
  4. Step 4: Simplify right side
    199,478x = 84,973,416,004
  5. Step 5: Solve for x
    x = 84,973,416,004/199,478
  6. Step 6: Final answer
    x = 425,978.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.