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Finding the Third Proportional to 208,698 and 279,585

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Solution

The third proportional to 208,698 and 279,585 is: 374,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698 : 279,585 = 279,585 : x
  2. Step 2: Convert to fraction form
    208,698/279,585 = 279,585/x
  3. Step 3: Cross multiply
    208,698x = 279,585 × 279,585
  4. Step 4: Simplify right side
    208,698x = 78,167,772,225
  5. Step 5: Solve for x
    x = 78,167,772,225/208,698
  6. Step 6: Final answer
    x = 374,549.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.