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Finding the Third Proportional to 312,512 and 442,492

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Solution

The third proportional to 312,512 and 442,492 is: 626,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,512 : 442,492 = 442,492 : x
  2. Step 2: Convert to fraction form
    312,512/442,492 = 442,492/x
  3. Step 3: Cross multiply
    312,512x = 442,492 × 442,492
  4. Step 4: Simplify right side
    312,512x = 195,799,170,064
  5. Step 5: Solve for x
    x = 195,799,170,064/312,512
  6. Step 6: Final answer
    x = 626,533.29

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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.