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Finding the Third Proportional to 286,522 and 607,189

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Solution

The third proportional to 286,522 and 607,189 is: 1,286,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,522 : 607,189 = 607,189 : x
  2. Step 2: Convert to fraction form
    286,522/607,189 = 607,189/x
  3. Step 3: Cross multiply
    286,522x = 607,189 × 607,189
  4. Step 4: Simplify right side
    286,522x = 368,678,481,721
  5. Step 5: Solve for x
    x = 368,678,481,721/286,522
  6. Step 6: Final answer
    x = 1,286,737.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.