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Finding the Third Proportional to 389,533.50 and 608,904

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Solution

The third proportional to 389,533.50 and 608,904 is: 951,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,533.50 : 608,904 = 608,904 : x
  2. Step 2: Convert to fraction form
    389,533.50/608,904 = 608,904/x
  3. Step 3: Cross multiply
    389,533.50x = 608,904 × 608,904
  4. Step 4: Simplify right side
    389,533.50x = 370,764,081,216
  5. Step 5: Solve for x
    x = 370,764,081,216/389,533.50
  6. Step 6: Final answer
    x = 951,815.65

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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.