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Finding the Third Proportional to 197,499 and 424,970

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Solution

The third proportional to 197,499 and 424,970 is: 914,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,499 : 424,970 = 424,970 : x
  2. Step 2: Convert to fraction form
    197,499/424,970 = 424,970/x
  3. Step 3: Cross multiply
    197,499x = 424,970 × 424,970
  4. Step 4: Simplify right side
    197,499x = 180,599,500,900
  5. Step 5: Solve for x
    x = 180,599,500,900/197,499
  6. Step 6: Final answer
    x = 914,432.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.