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Finding the Third Proportional to 319,872 and 688,951.50

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Solution

The third proportional to 319,872 and 688,951.50 is: 1,483,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,872 : 688,951.50 = 688,951.50 : x
  2. Step 2: Convert to fraction form
    319,872/688,951.50 = 688,951.50/x
  3. Step 3: Cross multiply
    319,872x = 688,951.50 × 688,951.50
  4. Step 4: Simplify right side
    319,872x = 474,654,169,352.25
  5. Step 5: Solve for x
    x = 474,654,169,352.25/319,872
  6. Step 6: Final answer
    x = 1,483,887.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.