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Finding the Third Proportional to 145,100 and 212,682

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Solution

The third proportional to 145,100 and 212,682 is: 311,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,100 : 212,682 = 212,682 : x
  2. Step 2: Convert to fraction form
    145,100/212,682 = 212,682/x
  3. Step 3: Cross multiply
    145,100x = 212,682 × 212,682
  4. Step 4: Simplify right side
    145,100x = 45,233,633,124
  5. Step 5: Solve for x
    x = 45,233,633,124/145,100
  6. Step 6: Final answer
    x = 311,741.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.