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Finding the Third Proportional to 318,694.50 and 684,753.75

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Solution

The third proportional to 318,694.50 and 684,753.75 is: 1,471,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,694.50 : 684,753.75 = 684,753.75 : x
  2. Step 2: Convert to fraction form
    318,694.50/684,753.75 = 684,753.75/x
  3. Step 3: Cross multiply
    318,694.50x = 684,753.75 × 684,753.75
  4. Step 4: Simplify right side
    318,694.50x = 468,887,698,139.06
  5. Step 5: Solve for x
    x = 468,887,698,139.06/318,694.50
  6. Step 6: Final answer
    x = 1,471,276.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.