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Finding the Third Proportional to 296,024 and 639,312

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Solution

The third proportional to 296,024 and 639,312 is: 1,380,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,024 : 639,312 = 639,312 : x
  2. Step 2: Convert to fraction form
    296,024/639,312 = 639,312/x
  3. Step 3: Cross multiply
    296,024x = 639,312 × 639,312
  4. Step 4: Simplify right side
    296,024x = 408,719,833,344
  5. Step 5: Solve for x
    x = 408,719,833,344/296,024
  6. Step 6: Final answer
    x = 1,380,698.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.