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Finding the Third Proportional to 100,407 and 217,140

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Solution

The third proportional to 100,407 and 217,140 is: 469,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407 : 217,140 = 217,140 : x
  2. Step 2: Convert to fraction form
    100,407/217,140 = 217,140/x
  3. Step 3: Cross multiply
    100,407x = 217,140 × 217,140
  4. Step 4: Simplify right side
    100,407x = 47,149,779,600
  5. Step 5: Solve for x
    x = 47,149,779,600/100,407
  6. Step 6: Final answer
    x = 469,586.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.