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Finding the Third Proportional to 292,858 and 397,814

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Solution

The third proportional to 292,858 and 397,814 is: 540,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,858 : 397,814 = 397,814 : x
  2. Step 2: Convert to fraction form
    292,858/397,814 = 397,814/x
  3. Step 3: Cross multiply
    292,858x = 397,814 × 397,814
  4. Step 4: Simplify right side
    292,858x = 158,255,978,596
  5. Step 5: Solve for x
    x = 158,255,978,596/292,858
  6. Step 6: Final answer
    x = 540,384.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.