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Finding the Third Proportional to 286,100 and 388,562

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Solution

The third proportional to 286,100 and 388,562 is: 527,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,100 : 388,562 = 388,562 : x
  2. Step 2: Convert to fraction form
    286,100/388,562 = 388,562/x
  3. Step 3: Cross multiply
    286,100x = 388,562 × 388,562
  4. Step 4: Simplify right side
    286,100x = 150,980,427,844
  5. Step 5: Solve for x
    x = 150,980,427,844/286,100
  6. Step 6: Final answer
    x = 527,719.08

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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.