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Finding the Third Proportional to 209,540 and 452,560

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Solution

The third proportional to 209,540 and 452,560 is: 977,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,540 : 452,560 = 452,560 : x
  2. Step 2: Convert to fraction form
    209,540/452,560 = 452,560/x
  3. Step 3: Cross multiply
    209,540x = 452,560 × 452,560
  4. Step 4: Simplify right side
    209,540x = 204,810,553,600
  5. Step 5: Solve for x
    x = 204,810,553,600/209,540
  6. Step 6: Final answer
    x = 977,429.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.