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Finding the Third Proportional to 132,990 and 288,585

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Solution

The third proportional to 132,990 and 288,585 is: 626,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,990 : 288,585 = 288,585 : x
  2. Step 2: Convert to fraction form
    132,990/288,585 = 288,585/x
  3. Step 3: Cross multiply
    132,990x = 288,585 × 288,585
  4. Step 4: Simplify right side
    132,990x = 83,281,302,225
  5. Step 5: Solve for x
    x = 83,281,302,225/132,990
  6. Step 6: Final answer
    x = 626,222.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.