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Finding the Third Proportional to 388,438 and 524,813

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Solution

The third proportional to 388,438 and 524,813 is: 709,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,438 : 524,813 = 524,813 : x
  2. Step 2: Convert to fraction form
    388,438/524,813 = 524,813/x
  3. Step 3: Cross multiply
    388,438x = 524,813 × 524,813
  4. Step 4: Simplify right side
    388,438x = 275,428,684,969
  5. Step 5: Solve for x
    x = 275,428,684,969/388,438
  6. Step 6: Final answer
    x = 709,067.30

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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.