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Finding the Third Proportional to 209,340 and 307,206

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Solution

The third proportional to 209,340 and 307,206 is: 450,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,340 : 307,206 = 307,206 : x
  2. Step 2: Convert to fraction form
    209,340/307,206 = 307,206/x
  3. Step 3: Cross multiply
    209,340x = 307,206 × 307,206
  4. Step 4: Simplify right side
    209,340x = 94,375,526,436
  5. Step 5: Solve for x
    x = 94,375,526,436/209,340
  6. Step 6: Final answer
    x = 450,824.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.