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Finding the Third Proportional to 386,140.50 and 838,713

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Solution

The third proportional to 386,140.50 and 838,713 is: 1,821,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,140.50 : 838,713 = 838,713 : x
  2. Step 2: Convert to fraction form
    386,140.50/838,713 = 838,713/x
  3. Step 3: Cross multiply
    386,140.50x = 838,713 × 838,713
  4. Step 4: Simplify right side
    386,140.50x = 703,439,496,369
  5. Step 5: Solve for x
    x = 703,439,496,369/386,140.50
  6. Step 6: Final answer
    x = 1,821,719.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.