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Finding the Third Proportional to 319,307.50 and 480,302.75

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Solution

The third proportional to 319,307.50 and 480,302.75 is: 722,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,307.50 : 480,302.75 = 480,302.75 : x
  2. Step 2: Convert to fraction form
    319,307.50/480,302.75 = 480,302.75/x
  3. Step 3: Cross multiply
    319,307.50x = 480,302.75 × 480,302.75
  4. Step 4: Simplify right side
    319,307.50x = 230,690,731,657.56
  5. Step 5: Solve for x
    x = 230,690,731,657.56/319,307.50
  6. Step 6: Final answer
    x = 722,472.01

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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.