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Finding the Third Proportional to 132,810 and 205,641

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Solution

The third proportional to 132,810 and 205,641 is: 318,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,810 : 205,641 = 205,641 : x
  2. Step 2: Convert to fraction form
    132,810/205,641 = 205,641/x
  3. Step 3: Cross multiply
    132,810x = 205,641 × 205,641
  4. Step 4: Simplify right side
    132,810x = 42,288,220,881
  5. Step 5: Solve for x
    x = 42,288,220,881/132,810
  6. Step 6: Final answer
    x = 318,411.42

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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.