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Finding the Third Proportional to 445,837.50 and 690,626.25

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Solution

The third proportional to 445,837.50 and 690,626.25 is: 1,069,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,837.50 : 690,626.25 = 690,626.25 : x
  2. Step 2: Convert to fraction form
    445,837.50/690,626.25 = 690,626.25/x
  3. Step 3: Cross multiply
    445,837.50x = 690,626.25 × 690,626.25
  4. Step 4: Simplify right side
    445,837.50x = 476,964,617,189.06
  5. Step 5: Solve for x
    x = 476,964,617,189.06/445,837.50
  6. Step 6: Final answer
    x = 1,069,817.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.