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Finding the Third Proportional to 216,638.30 and 287,522.16

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Solution

The third proportional to 216,638.30 and 287,522.16 is: 381,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,638.30 : 287,522.16 = 287,522.16 : x
  2. Step 2: Convert to fraction form
    216,638.30/287,522.16 = 287,522.16/x
  3. Step 3: Cross multiply
    216,638.30x = 287,522.16 × 287,522.16
  4. Step 4: Simplify right side
    216,638.30x = 82,668,990,334.65
  5. Step 5: Solve for x
    x = 82,668,990,334.65/216,638.30
  6. Step 6: Final answer
    x = 381,599.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.