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Finding the Third Proportional to 145,275 and 217,905

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Solution

The third proportional to 145,275 and 217,905 is: 326,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,275 : 217,905 = 217,905 : x
  2. Step 2: Convert to fraction form
    145,275/217,905 = 217,905/x
  3. Step 3: Cross multiply
    145,275x = 217,905 × 217,905
  4. Step 4: Simplify right side
    145,275x = 47,482,589,025
  5. Step 5: Solve for x
    x = 47,482,589,025/145,275
  6. Step 6: Final answer
    x = 326,846.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.