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Finding the Third Proportional to 282,507.75 and 418,874.63

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Solution

The third proportional to 282,507.75 and 418,874.63 is: 621,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,507.75 : 418,874.63 = 418,874.63 : x
  2. Step 2: Convert to fraction form
    282,507.75/418,874.63 = 418,874.63/x
  3. Step 3: Cross multiply
    282,507.75x = 418,874.63 × 418,874.63
  4. Step 4: Simplify right side
    282,507.75x = 175,455,951,468.89
  5. Step 5: Solve for x
    x = 175,455,951,468.89/282,507.75
  6. Step 6: Final answer
    x = 621,065.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.