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Finding the Third Proportional to 316,721.25 and 683,266.50

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Solution

The third proportional to 316,721.25 and 683,266.50 is: 1,474,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,721.25 : 683,266.50 = 683,266.50 : x
  2. Step 2: Convert to fraction form
    316,721.25/683,266.50 = 683,266.50/x
  3. Step 3: Cross multiply
    316,721.25x = 683,266.50 × 683,266.50
  4. Step 4: Simplify right side
    316,721.25x = 466,853,110,022.25
  5. Step 5: Solve for x
    x = 466,853,110,022.25/316,721.25
  6. Step 6: Final answer
    x = 1,474,018.90

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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.