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Finding the Third Proportional to 291,851 and 639,060

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Solution

The third proportional to 291,851 and 639,060 is: 1,399,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,851 : 639,060 = 639,060 : x
  2. Step 2: Convert to fraction form
    291,851/639,060 = 639,060/x
  3. Step 3: Cross multiply
    291,851x = 639,060 × 639,060
  4. Step 4: Simplify right side
    291,851x = 408,397,683,600
  5. Step 5: Solve for x
    x = 408,397,683,600/291,851
  6. Step 6: Final answer
    x = 1,399,336.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.