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Finding the Third Proportional to 398,424 and 600,971

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Solution

The third proportional to 398,424 and 600,971 is: 906,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,424 : 600,971 = 600,971 : x
  2. Step 2: Convert to fraction form
    398,424/600,971 = 600,971/x
  3. Step 3: Cross multiply
    398,424x = 600,971 × 600,971
  4. Step 4: Simplify right side
    398,424x = 361,166,142,841
  5. Step 5: Solve for x
    x = 361,166,142,841/398,424
  6. Step 6: Final answer
    x = 906,486.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.