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Finding the Third Proportional to 389,535.75 and 608,907.38

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Solution

The third proportional to 389,535.75 and 608,907.38 is: 951,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,535.75 : 608,907.38 = 608,907.38 : x
  2. Step 2: Convert to fraction form
    389,535.75/608,907.38 = 608,907.38/x
  3. Step 3: Cross multiply
    389,535.75x = 608,907.38 × 608,907.38
  4. Step 4: Simplify right side
    389,535.75x = 370,768,191,329.39
  5. Step 5: Solve for x
    x = 370,768,191,329.39/389,535.75
  6. Step 6: Final answer
    x = 951,820.70

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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.