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Finding the Third Proportional to 312,508.88 and 442,487.06

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Solution

The third proportional to 312,508.88 and 442,487.06 is: 626,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,508.88 : 442,487.06 = 442,487.06 : x
  2. Step 2: Convert to fraction form
    312,508.88/442,487.06 = 442,487.06/x
  3. Step 3: Cross multiply
    312,508.88x = 442,487.06 × 442,487.06
  4. Step 4: Simplify right side
    312,508.88x = 195,794,800,479.88
  5. Step 5: Solve for x
    x = 195,794,800,479.88/312,508.88
  6. Step 6: Final answer
    x = 626,525.57

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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.