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Finding the Third Proportional to 438,217 and 660,210

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Solution

The third proportional to 438,217 and 660,210 is: 994,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,217 : 660,210 = 660,210 : x
  2. Step 2: Convert to fraction form
    438,217/660,210 = 660,210/x
  3. Step 3: Cross multiply
    438,217x = 660,210 × 660,210
  4. Step 4: Simplify right side
    438,217x = 435,877,244,100
  5. Step 5: Solve for x
    x = 435,877,244,100/438,217
  6. Step 6: Final answer
    x = 994,660.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.