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Finding the Third Proportional to 100,025 and 217,220

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Solution

The third proportional to 100,025 and 217,220 is: 471,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025 : 217,220 = 217,220 : x
  2. Step 2: Convert to fraction form
    100,025/217,220 = 217,220/x
  3. Step 3: Cross multiply
    100,025x = 217,220 × 217,220
  4. Step 4: Simplify right side
    100,025x = 47,184,528,400
  5. Step 5: Solve for x
    x = 47,184,528,400/100,025
  6. Step 6: Final answer
    x = 471,727.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.