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Finding the Third Proportional to 319,944.50 and 679,254.50

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Solution

The third proportional to 319,944.50 and 679,254.50 is: 1,442,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,944.50 : 679,254.50 = 679,254.50 : x
  2. Step 2: Convert to fraction form
    319,944.50/679,254.50 = 679,254.50/x
  3. Step 3: Cross multiply
    319,944.50x = 679,254.50 × 679,254.50
  4. Step 4: Simplify right side
    319,944.50x = 461,386,675,770.25
  5. Step 5: Solve for x
    x = 461,386,675,770.25/319,944.50
  6. Step 6: Final answer
    x = 1,442,083.47

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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.