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Finding the Third Proportional to 132,590 and 205,584

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Solution

The third proportional to 132,590 and 205,584 is: 318,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,590 : 205,584 = 205,584 : x
  2. Step 2: Convert to fraction form
    132,590/205,584 = 205,584/x
  3. Step 3: Cross multiply
    132,590x = 205,584 × 205,584
  4. Step 4: Simplify right side
    132,590x = 42,264,781,056
  5. Step 5: Solve for x
    x = 42,264,781,056/132,590
  6. Step 6: Final answer
    x = 318,762.96

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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.