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Finding the Third Proportional to 388,400 and 524,758

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Solution

The third proportional to 388,400 and 524,758 is: 708,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,400 : 524,758 = 524,758 : x
  2. Step 2: Convert to fraction form
    388,400/524,758 = 524,758/x
  3. Step 3: Cross multiply
    388,400x = 524,758 × 524,758
  4. Step 4: Simplify right side
    388,400x = 275,370,958,564
  5. Step 5: Solve for x
    x = 275,370,958,564/388,400
  6. Step 6: Final answer
    x = 708,988.05

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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.