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Finding the Third Proportional to 319,306.50 and 480,291.75

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Solution

The third proportional to 319,306.50 and 480,291.75 is: 722,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,306.50 : 480,291.75 = 480,291.75 : x
  2. Step 2: Convert to fraction form
    319,306.50/480,291.75 = 480,291.75/x
  3. Step 3: Cross multiply
    319,306.50x = 480,291.75 × 480,291.75
  4. Step 4: Simplify right side
    319,306.50x = 230,680,165,118.06
  5. Step 5: Solve for x
    x = 230,680,165,118.06/319,306.50
  6. Step 6: Final answer
    x = 722,441.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.