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Finding the Third Proportional to 208,278.56 and 431,326.13

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Solution

The third proportional to 208,278.56 and 431,326.13 is: 893,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,278.56 : 431,326.13 = 431,326.13 : x
  2. Step 2: Convert to fraction form
    208,278.56/431,326.13 = 431,326.13/x
  3. Step 3: Cross multiply
    208,278.56x = 431,326.13 × 431,326.13
  4. Step 4: Simplify right side
    208,278.56x = 186,042,226,107.52
  5. Step 5: Solve for x
    x = 186,042,226,107.52/208,278.56
  6. Step 6: Final answer
    x = 893,237.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.