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Finding the Third Proportional to 256,698 and 399,047

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Solution

The third proportional to 256,698 and 399,047 is: 620,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,698 : 399,047 = 399,047 : x
  2. Step 2: Convert to fraction form
    256,698/399,047 = 399,047/x
  3. Step 3: Cross multiply
    256,698x = 399,047 × 399,047
  4. Step 4: Simplify right side
    256,698x = 159,238,508,209
  5. Step 5: Solve for x
    x = 159,238,508,209/256,698
  6. Step 6: Final answer
    x = 620,334.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.