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Finding the Third Proportional to 405,381 and 608,278.50

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Solution

The third proportional to 405,381 and 608,278.50 is: 912,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,381 : 608,278.50 = 608,278.50 : x
  2. Step 2: Convert to fraction form
    405,381/608,278.50 = 608,278.50/x
  3. Step 3: Cross multiply
    405,381x = 608,278.50 × 608,278.50
  4. Step 4: Simplify right side
    405,381x = 370,002,733,562.25
  5. Step 5: Solve for x
    x = 370,002,733,562.25/405,381
  6. Step 6: Final answer
    x = 912,728.36

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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.