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Finding the Third Proportional to 292,761 and 639,072

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Solution

The third proportional to 292,761 and 639,072 is: 1,395,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,761 : 639,072 = 639,072 : x
  2. Step 2: Convert to fraction form
    292,761/639,072 = 639,072/x
  3. Step 3: Cross multiply
    292,761x = 639,072 × 639,072
  4. Step 4: Simplify right side
    292,761x = 408,413,021,184
  5. Step 5: Solve for x
    x = 408,413,021,184/292,761
  6. Step 6: Final answer
    x = 1,395,039.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.