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Finding the Third Proportional to 309,972 and 657,120

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Solution

The third proportional to 309,972 and 657,120 is: 1,393,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,972 : 657,120 = 657,120 : x
  2. Step 2: Convert to fraction form
    309,972/657,120 = 657,120/x
  3. Step 3: Cross multiply
    309,972x = 657,120 × 657,120
  4. Step 4: Simplify right side
    309,972x = 431,806,694,400
  5. Step 5: Solve for x
    x = 431,806,694,400/309,972
  6. Step 6: Final answer
    x = 1,393,050.64

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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.