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Finding the Third Proportional to 389,536 and 608,908

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Solution

The third proportional to 389,536 and 608,908 is: 951,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,536 : 608,908 = 608,908 : x
  2. Step 2: Convert to fraction form
    389,536/608,908 = 608,908/x
  3. Step 3: Cross multiply
    389,536x = 608,908 × 608,908
  4. Step 4: Simplify right side
    389,536x = 370,768,952,464
  5. Step 5: Solve for x
    x = 370,768,952,464/389,536
  6. Step 6: Final answer
    x = 951,822.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.