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Finding the Third Proportional to 296,176.50 and 639,633.38

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Solution

The third proportional to 296,176.50 and 639,633.38 is: 1,381,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,176.50 : 639,633.38 = 639,633.38 : x
  2. Step 2: Convert to fraction form
    296,176.50/639,633.38 = 639,633.38/x
  3. Step 3: Cross multiply
    296,176.50x = 639,633.38 × 639,633.38
  4. Step 4: Simplify right side
    296,176.50x = 409,130,854,413.89
  5. Step 5: Solve for x
    x = 409,130,854,413.89/296,176.50
  6. Step 6: Final answer
    x = 1,381,375.14

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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.