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Finding the Third Proportional to 90,907.31 and 198,338.63

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Solution

The third proportional to 90,907.31 and 198,338.63 is: 432,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,907.31 : 198,338.63 = 198,338.63 : x
  2. Step 2: Convert to fraction form
    90,907.31/198,338.63 = 198,338.63/x
  3. Step 3: Cross multiply
    90,907.31x = 198,338.63 × 198,338.63
  4. Step 4: Simplify right side
    90,907.31x = 39,338,210,166.89
  5. Step 5: Solve for x
    x = 39,338,210,166.89/90,907.31
  6. Step 6: Final answer
    x = 432,728.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.