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Finding the Third Proportional to 378,961.50 and 553,657

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Solution

The third proportional to 378,961.50 and 553,657 is: 808,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,961.50 : 553,657 = 553,657 : x
  2. Step 2: Convert to fraction form
    378,961.50/553,657 = 553,657/x
  3. Step 3: Cross multiply
    378,961.50x = 553,657 × 553,657
  4. Step 4: Simplify right side
    378,961.50x = 306,536,073,649
  5. Step 5: Solve for x
    x = 306,536,073,649/378,961.50
  6. Step 6: Final answer
    x = 808,884.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.