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Finding the Third Proportional to 310,320 and 442,941

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Solution

The third proportional to 310,320 and 442,941 is: 632,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,320 : 442,941 = 442,941 : x
  2. Step 2: Convert to fraction form
    310,320/442,941 = 442,941/x
  3. Step 3: Cross multiply
    310,320x = 442,941 × 442,941
  4. Step 4: Simplify right side
    310,320x = 196,196,729,481
  5. Step 5: Solve for x
    x = 196,196,729,481/310,320
  6. Step 6: Final answer
    x = 632,240.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.