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Finding the Third Proportional to 388,372.50 and 524,718

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Solution

The third proportional to 388,372.50 and 524,718 is: 708,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,372.50 : 524,718 = 524,718 : x
  2. Step 2: Convert to fraction form
    388,372.50/524,718 = 524,718/x
  3. Step 3: Cross multiply
    388,372.50x = 524,718 × 524,718
  4. Step 4: Simplify right side
    388,372.50x = 275,328,979,524
  5. Step 5: Solve for x
    x = 275,328,979,524/388,372.50
  6. Step 6: Final answer
    x = 708,930.16

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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.