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Finding the Third Proportional to 261,790.31 and 420,018.75

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Solution

The third proportional to 261,790.31 and 420,018.75 is: 673,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,790.31 : 420,018.75 = 420,018.75 : x
  2. Step 2: Convert to fraction form
    261,790.31/420,018.75 = 420,018.75/x
  3. Step 3: Cross multiply
    261,790.31x = 420,018.75 × 420,018.75
  4. Step 4: Simplify right side
    261,790.31x = 176,415,750,351.56
  5. Step 5: Solve for x
    x = 176,415,750,351.56/261,790.31
  6. Step 6: Final answer
    x = 673,881.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.