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Finding the Third Proportional to 207,468 and 320,412

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Solution

The third proportional to 207,468 and 320,412 is: 494,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,468 : 320,412 = 320,412 : x
  2. Step 2: Convert to fraction form
    207,468/320,412 = 320,412/x
  3. Step 3: Cross multiply
    207,468x = 320,412 × 320,412
  4. Step 4: Simplify right side
    207,468x = 102,663,849,744
  5. Step 5: Solve for x
    x = 102,663,849,744/207,468
  6. Step 6: Final answer
    x = 494,841.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.