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Finding the Third Proportional to 132,215 and 257,788

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Solution

The third proportional to 132,215 and 257,788 is: 502,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,215 : 257,788 = 257,788 : x
  2. Step 2: Convert to fraction form
    132,215/257,788 = 257,788/x
  3. Step 3: Cross multiply
    132,215x = 257,788 × 257,788
  4. Step 4: Simplify right side
    132,215x = 66,454,652,944
  5. Step 5: Solve for x
    x = 66,454,652,944/132,215
  6. Step 6: Final answer
    x = 502,625.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.