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Finding the Third Proportional to 309,982 and 657,168

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Solution

The third proportional to 309,982 and 657,168 is: 1,393,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,982 : 657,168 = 657,168 : x
  2. Step 2: Convert to fraction form
    309,982/657,168 = 657,168/x
  3. Step 3: Cross multiply
    309,982x = 657,168 × 657,168
  4. Step 4: Simplify right side
    309,982x = 431,869,780,224
  5. Step 5: Solve for x
    x = 431,869,780,224/309,982
  6. Step 6: Final answer
    x = 1,393,209.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.