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Finding the Third Proportional to 265,320 and 420,115

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Solution

The third proportional to 265,320 and 420,115 is: 665,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,320 : 420,115 = 420,115 : x
  2. Step 2: Convert to fraction form
    265,320/420,115 = 420,115/x
  3. Step 3: Cross multiply
    265,320x = 420,115 × 420,115
  4. Step 4: Simplify right side
    265,320x = 176,496,613,225
  5. Step 5: Solve for x
    x = 176,496,613,225/265,320
  6. Step 6: Final answer
    x = 665,221.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.