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Finding the Third Proportional to 99,284 and 216,420

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Solution

The third proportional to 99,284 and 216,420 is: 471,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,284 : 216,420 = 216,420 : x
  2. Step 2: Convert to fraction form
    99,284/216,420 = 216,420/x
  3. Step 3: Cross multiply
    99,284x = 216,420 × 216,420
  4. Step 4: Simplify right side
    99,284x = 46,837,616,400
  5. Step 5: Solve for x
    x = 46,837,616,400/99,284
  6. Step 6: Final answer
    x = 471,753.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.