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Finding the Third Proportional to 292,796 and 639,136

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Solution

The third proportional to 292,796 and 639,136 is: 1,395,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,796 : 639,136 = 639,136 : x
  2. Step 2: Convert to fraction form
    292,796/639,136 = 639,136/x
  3. Step 3: Cross multiply
    292,796x = 639,136 × 639,136
  4. Step 4: Simplify right side
    292,796x = 408,494,826,496
  5. Step 5: Solve for x
    x = 408,494,826,496/292,796
  6. Step 6: Final answer
    x = 1,395,151.66

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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.