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Finding the Third Proportional to 209,440 and 317,208

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Solution

The third proportional to 209,440 and 317,208 is: 480,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,440 : 317,208 = 317,208 : x
  2. Step 2: Convert to fraction form
    209,440/317,208 = 317,208/x
  3. Step 3: Cross multiply
    209,440x = 317,208 × 317,208
  4. Step 4: Simplify right side
    209,440x = 100,620,915,264
  5. Step 5: Solve for x
    x = 100,620,915,264/209,440
  6. Step 6: Final answer
    x = 480,428.36

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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.