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Finding the Third Proportional to 389,550 and 608,929

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Solution

The third proportional to 389,550 and 608,929 is: 951,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,550 : 608,929 = 608,929 : x
  2. Step 2: Convert to fraction form
    389,550/608,929 = 608,929/x
  3. Step 3: Cross multiply
    389,550x = 608,929 × 608,929
  4. Step 4: Simplify right side
    389,550x = 370,794,527,041
  5. Step 5: Solve for x
    x = 370,794,527,041/389,550
  6. Step 6: Final answer
    x = 951,853.49

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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.