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Finding the Third Proportional to 286,041.50 and 388,476.75

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Solution

The third proportional to 286,041.50 and 388,476.75 is: 527,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,041.50 : 388,476.75 = 388,476.75 : x
  2. Step 2: Convert to fraction form
    286,041.50/388,476.75 = 388,476.75/x
  3. Step 3: Cross multiply
    286,041.50x = 388,476.75 × 388,476.75
  4. Step 4: Simplify right side
    286,041.50x = 150,914,185,290.56
  5. Step 5: Solve for x
    x = 150,914,185,290.56/286,041.50
  6. Step 6: Final answer
    x = 527,595.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.