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Finding the Third Proportional to 283,320 and 442,212

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Solution

The third proportional to 283,320 and 442,212 is: 690,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,320 : 442,212 = 442,212 : x
  2. Step 2: Convert to fraction form
    283,320/442,212 = 442,212/x
  3. Step 3: Cross multiply
    283,320x = 442,212 × 442,212
  4. Step 4: Simplify right side
    283,320x = 195,551,452,944
  5. Step 5: Solve for x
    x = 195,551,452,944/283,320
  6. Step 6: Final answer
    x = 690,214.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.