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Finding the Third Proportional to 319,877.50 and 679,115

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Solution

The third proportional to 319,877.50 and 679,115 is: 1,441,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,877.50 : 679,115 = 679,115 : x
  2. Step 2: Convert to fraction form
    319,877.50/679,115 = 679,115/x
  3. Step 3: Cross multiply
    319,877.50x = 679,115 × 679,115
  4. Step 4: Simplify right side
    319,877.50x = 461,197,183,225
  5. Step 5: Solve for x
    x = 461,197,183,225/319,877.50
  6. Step 6: Final answer
    x = 1,441,793.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.