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Finding the Third Proportional to 209,106 and 316,251

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Solution

The third proportional to 209,106 and 316,251 is: 478,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,106 : 316,251 = 316,251 : x
  2. Step 2: Convert to fraction form
    209,106/316,251 = 316,251/x
  3. Step 3: Cross multiply
    209,106x = 316,251 × 316,251
  4. Step 4: Simplify right side
    209,106x = 100,014,695,001
  5. Step 5: Solve for x
    x = 100,014,695,001/209,106
  6. Step 6: Final answer
    x = 478,296.63

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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.