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Finding the Third Proportional to 131,582 and 198,557

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Solution

The third proportional to 131,582 and 198,557 is: 299,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,582 : 198,557 = 198,557 : x
  2. Step 2: Convert to fraction form
    131,582/198,557 = 198,557/x
  3. Step 3: Cross multiply
    131,582x = 198,557 × 198,557
  4. Step 4: Simplify right side
    131,582x = 39,424,882,249
  5. Step 5: Solve for x
    x = 39,424,882,249/131,582
  6. Step 6: Final answer
    x = 299,622.15

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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.