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Finding the Third Proportional to 331,299 and 516,631.50

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Solution

The third proportional to 331,299 and 516,631.50 is: 805,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,299 : 516,631.50 = 516,631.50 : x
  2. Step 2: Convert to fraction form
    331,299/516,631.50 = 516,631.50/x
  3. Step 3: Cross multiply
    331,299x = 516,631.50 × 516,631.50
  4. Step 4: Simplify right side
    331,299x = 266,908,106,792.25
  5. Step 5: Solve for x
    x = 266,908,106,792.25/331,299
  6. Step 6: Final answer
    x = 805,641.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.