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Finding the Third Proportional to 208,828.13 and 318,139.31

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Solution

The third proportional to 208,828.13 and 318,139.31 is: 484,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,828.13 : 318,139.31 = 318,139.31 : x
  2. Step 2: Convert to fraction form
    208,828.13/318,139.31 = 318,139.31/x
  3. Step 3: Cross multiply
    208,828.13x = 318,139.31 × 318,139.31
  4. Step 4: Simplify right side
    208,828.13x = 101,212,622,157.97
  5. Step 5: Solve for x
    x = 101,212,622,157.97/208,828.13
  6. Step 6: Final answer
    x = 484,669.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.