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Finding the Third Proportional to 207,423.75 and 283,870.25

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Solution

The third proportional to 207,423.75 and 283,870.25 is: 388,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,423.75 : 283,870.25 = 283,870.25 : x
  2. Step 2: Convert to fraction form
    207,423.75/283,870.25 = 283,870.25/x
  3. Step 3: Cross multiply
    207,423.75x = 283,870.25 × 283,870.25
  4. Step 4: Simplify right side
    207,423.75x = 80,582,318,835.06
  5. Step 5: Solve for x
    x = 80,582,318,835.06/207,423.75
  6. Step 6: Final answer
    x = 388,491.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.