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Finding the Third Proportional to 209,148 and 315,672

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Solution

The third proportional to 209,148 and 315,672 is: 476,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,148 : 315,672 = 315,672 : x
  2. Step 2: Convert to fraction form
    209,148/315,672 = 315,672/x
  3. Step 3: Cross multiply
    209,148x = 315,672 × 315,672
  4. Step 4: Simplify right side
    209,148x = 99,648,811,584
  5. Step 5: Solve for x
    x = 99,648,811,584/209,148
  6. Step 6: Final answer
    x = 476,451.18

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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.