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Finding the Third Proportional to 130,905 and 197,451

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Solution

The third proportional to 130,905 and 197,451 is: 297,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,905 : 197,451 = 197,451 : x
  2. Step 2: Convert to fraction form
    130,905/197,451 = 197,451/x
  3. Step 3: Cross multiply
    130,905x = 197,451 × 197,451
  4. Step 4: Simplify right side
    130,905x = 38,986,897,401
  5. Step 5: Solve for x
    x = 38,986,897,401/130,905
  6. Step 6: Final answer
    x = 297,825.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.