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Finding the Third Proportional to 98,476 and 216,636

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Solution

The third proportional to 98,476 and 216,636 is: 476,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476 : 216,636 = 216,636 : x
  2. Step 2: Convert to fraction form
    98,476/216,636 = 216,636/x
  3. Step 3: Cross multiply
    98,476x = 216,636 × 216,636
  4. Step 4: Simplify right side
    98,476x = 46,931,156,496
  5. Step 5: Solve for x
    x = 46,931,156,496/98,476
  6. Step 6: Final answer
    x = 476,574.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.