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Finding the Third Proportional to 262,482 and 407,205

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Solution

The third proportional to 262,482 and 407,205 is: 631,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,482 : 407,205 = 407,205 : x
  2. Step 2: Convert to fraction form
    262,482/407,205 = 407,205/x
  3. Step 3: Cross multiply
    262,482x = 407,205 × 407,205
  4. Step 4: Simplify right side
    262,482x = 165,815,912,025
  5. Step 5: Solve for x
    x = 165,815,912,025/262,482
  6. Step 6: Final answer
    x = 631,722.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.