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Finding the Third Proportional to 208,687.50 and 311,803

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Solution

The third proportional to 208,687.50 and 311,803 is: 465,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,687.50 : 311,803 = 311,803 : x
  2. Step 2: Convert to fraction form
    208,687.50/311,803 = 311,803/x
  3. Step 3: Cross multiply
    208,687.50x = 311,803 × 311,803
  4. Step 4: Simplify right side
    208,687.50x = 97,221,110,809
  5. Step 5: Solve for x
    x = 97,221,110,809/208,687.50
  6. Step 6: Final answer
    x = 465,869.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.