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Finding the Third Proportional to 98,409 and 212,376

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Solution

The third proportional to 98,409 and 212,376 is: 458,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,409 : 212,376 = 212,376 : x
  2. Step 2: Convert to fraction form
    98,409/212,376 = 212,376/x
  3. Step 3: Cross multiply
    98,409x = 212,376 × 212,376
  4. Step 4: Simplify right side
    98,409x = 45,103,565,376
  5. Step 5: Solve for x
    x = 45,103,565,376/98,409
  6. Step 6: Final answer
    x = 458,327.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.