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Finding the Third Proportional to 291,850 and 639,058

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Solution

The third proportional to 291,850 and 639,058 is: 1,399,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,850 : 639,058 = 639,058 : x
  2. Step 2: Convert to fraction form
    291,850/639,058 = 639,058/x
  3. Step 3: Cross multiply
    291,850x = 639,058 × 639,058
  4. Step 4: Simplify right side
    291,850x = 408,395,127,364
  5. Step 5: Solve for x
    x = 408,395,127,364/291,850
  6. Step 6: Final answer
    x = 1,399,332.28

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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.