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Finding the Third Proportional to 388,422 and 524,790

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Solution

The third proportional to 388,422 and 524,790 is: 709,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,422 : 524,790 = 524,790 : x
  2. Step 2: Convert to fraction form
    388,422/524,790 = 524,790/x
  3. Step 3: Cross multiply
    388,422x = 524,790 × 524,790
  4. Step 4: Simplify right side
    388,422x = 275,404,544,100
  5. Step 5: Solve for x
    x = 275,404,544,100/388,422
  6. Step 6: Final answer
    x = 709,034.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.