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Finding the Third Proportional to 135,479 and 296,788

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Solution

The third proportional to 135,479 and 296,788 is: 650,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,479 : 296,788 = 296,788 : x
  2. Step 2: Convert to fraction form
    135,479/296,788 = 296,788/x
  3. Step 3: Cross multiply
    135,479x = 296,788 × 296,788
  4. Step 4: Simplify right side
    135,479x = 88,083,116,944
  5. Step 5: Solve for x
    x = 88,083,116,944/135,479
  6. Step 6: Final answer
    x = 650,160.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.