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Finding the Third Proportional to 99,409.50 and 216,315

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Solution

The third proportional to 99,409.50 and 216,315 is: 470,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,409.50 : 216,315 = 216,315 : x
  2. Step 2: Convert to fraction form
    99,409.50/216,315 = 216,315/x
  3. Step 3: Cross multiply
    99,409.50x = 216,315 × 216,315
  4. Step 4: Simplify right side
    99,409.50x = 46,792,179,225
  5. Step 5: Solve for x
    x = 46,792,179,225/99,409.50
  6. Step 6: Final answer
    x = 470,701.28

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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.