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Finding the Third Proportional to 145,984 and 213,235

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Solution

The third proportional to 145,984 and 213,235 is: 311,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984 : 213,235 = 213,235 : x
  2. Step 2: Convert to fraction form
    145,984/213,235 = 213,235/x
  3. Step 3: Cross multiply
    145,984x = 213,235 × 213,235
  4. Step 4: Simplify right side
    145,984x = 45,469,165,225
  5. Step 5: Solve for x
    x = 45,469,165,225/145,984
  6. Step 6: Final answer
    x = 311,466.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.