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Finding the Third Proportional to 316,974.52 and 683,885.53

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Solution

The third proportional to 316,974.52 and 683,885.53 is: 1,475,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,974.52 : 683,885.53 = 683,885.53 : x
  2. Step 2: Convert to fraction form
    316,974.52/683,885.53 = 683,885.53/x
  3. Step 3: Cross multiply
    316,974.52x = 683,885.53 × 683,885.53
  4. Step 4: Simplify right side
    316,974.52x = 467,699,419,853.10
  5. Step 5: Solve for x
    x = 467,699,419,853.10/316,974.52
  6. Step 6: Final answer
    x = 1,475,511.11

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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.