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Finding the Third Proportional to 99,712 and 220,152

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Solution

The third proportional to 99,712 and 220,152 is: 486,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,712 : 220,152 = 220,152 : x
  2. Step 2: Convert to fraction form
    99,712/220,152 = 220,152/x
  3. Step 3: Cross multiply
    99,712x = 220,152 × 220,152
  4. Step 4: Simplify right side
    99,712x = 48,466,903,104
  5. Step 5: Solve for x
    x = 48,466,903,104/99,712
  6. Step 6: Final answer
    x = 486,068.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.