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Finding the Third Proportional to 99,288 and 216,084

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Solution

The third proportional to 99,288 and 216,084 is: 470,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,288 : 216,084 = 216,084 : x
  2. Step 2: Convert to fraction form
    99,288/216,084 = 216,084/x
  3. Step 3: Cross multiply
    99,288x = 216,084 × 216,084
  4. Step 4: Simplify right side
    99,288x = 46,692,295,056
  5. Step 5: Solve for x
    x = 46,692,295,056/99,288
  6. Step 6: Final answer
    x = 470,271.28

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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.