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Finding the Third Proportional to 316,497 and 682,930.50

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Solution

The third proportional to 316,497 and 682,930.50 is: 1,473,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,497 : 682,930.50 = 682,930.50 : x
  2. Step 2: Convert to fraction form
    316,497/682,930.50 = 682,930.50/x
  3. Step 3: Cross multiply
    316,497x = 682,930.50 × 682,930.50
  4. Step 4: Simplify right side
    316,497x = 466,394,067,830.25
  5. Step 5: Solve for x
    x = 466,394,067,830.25/316,497
  6. Step 6: Final answer
    x = 1,473,612.92

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