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Finding the Third Proportional to 158,707 and 215,299

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Solution

The third proportional to 158,707 and 215,299 is: 292,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,707 : 215,299 = 215,299 : x
  2. Step 2: Convert to fraction form
    158,707/215,299 = 215,299/x
  3. Step 3: Cross multiply
    158,707x = 215,299 × 215,299
  4. Step 4: Simplify right side
    158,707x = 46,353,659,401
  5. Step 5: Solve for x
    x = 46,353,659,401/158,707
  6. Step 6: Final answer
    x = 292,070.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.