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Finding the Third Proportional to 130,434 and 198,392

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Solution

The third proportional to 130,434 and 198,392 is: 301,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,434 : 198,392 = 198,392 : x
  2. Step 2: Convert to fraction form
    130,434/198,392 = 198,392/x
  3. Step 3: Cross multiply
    130,434x = 198,392 × 198,392
  4. Step 4: Simplify right side
    130,434x = 39,359,385,664
  5. Step 5: Solve for x
    x = 39,359,385,664/130,434
  6. Step 6: Final answer
    x = 301,757.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.