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Finding the Third Proportional to 28,042 and 43,413

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Solution

The third proportional to 28,042 and 43,413 is: 67,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042 : 43,413 = 43,413 : x
  2. Step 2: Convert to fraction form
    28,042/43,413 = 43,413/x
  3. Step 3: Cross multiply
    28,042x = 43,413 × 43,413
  4. Step 4: Simplify right side
    28,042x = 1,884,688,569
  5. Step 5: Solve for x
    x = 1,884,688,569/28,042
  6. Step 6: Final answer
    x = 67,209.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.