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Finding the Third Proportional to 145,812 and 210,725

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Solution

The third proportional to 145,812 and 210,725 is: 304,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812 : 210,725 = 210,725 : x
  2. Step 2: Convert to fraction form
    145,812/210,725 = 210,725/x
  3. Step 3: Cross multiply
    145,812x = 210,725 × 210,725
  4. Step 4: Simplify right side
    145,812x = 44,405,025,625
  5. Step 5: Solve for x
    x = 44,405,025,625/145,812
  6. Step 6: Final answer
    x = 304,536.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.