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Finding the Third Proportional to 402,384 and 603,625

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Solution

The third proportional to 402,384 and 603,625 is: 905,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,384 : 603,625 = 603,625 : x
  2. Step 2: Convert to fraction form
    402,384/603,625 = 603,625/x
  3. Step 3: Cross multiply
    402,384x = 603,625 × 603,625
  4. Step 4: Simplify right side
    402,384x = 364,363,140,625
  5. Step 5: Solve for x
    x = 364,363,140,625/402,384
  6. Step 6: Final answer
    x = 905,511.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.