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Finding the Third Proportional to 208,442 and 316,875

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Solution

The third proportional to 208,442 and 316,875 is: 481,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442 : 316,875 = 316,875 : x
  2. Step 2: Convert to fraction form
    208,442/316,875 = 316,875/x
  3. Step 3: Cross multiply
    208,442x = 316,875 × 316,875
  4. Step 4: Simplify right side
    208,442x = 100,409,765,625
  5. Step 5: Solve for x
    x = 100,409,765,625/208,442
  6. Step 6: Final answer
    x = 481,715.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.