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Finding the Third Proportional to 312,500.25 and 442,476

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Solution

The third proportional to 312,500.25 and 442,476 is: 626,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,500.25 : 442,476 = 442,476 : x
  2. Step 2: Convert to fraction form
    312,500.25/442,476 = 442,476/x
  3. Step 3: Cross multiply
    312,500.25x = 442,476 × 442,476
  4. Step 4: Simplify right side
    312,500.25x = 195,785,010,576
  5. Step 5: Solve for x
    x = 195,785,010,576/312,500.25
  6. Step 6: Final answer
    x = 626,511.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.