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Finding the Third Proportional to 316,894.50 and 659,999

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Solution

The third proportional to 316,894.50 and 659,999 is: 1,374,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,894.50 : 659,999 = 659,999 : x
  2. Step 2: Convert to fraction form
    316,894.50/659,999 = 659,999/x
  3. Step 3: Cross multiply
    316,894.50x = 659,999 × 659,999
  4. Step 4: Simplify right side
    316,894.50x = 435,598,680,001
  5. Step 5: Solve for x
    x = 435,598,680,001/316,894.50
  6. Step 6: Final answer
    x = 1,374,585.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.