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Finding the Third Proportional to 416,837 and 645,848

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Solution

The third proportional to 416,837 and 645,848 is: 1,000,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,837 : 645,848 = 645,848 : x
  2. Step 2: Convert to fraction form
    416,837/645,848 = 645,848/x
  3. Step 3: Cross multiply
    416,837x = 645,848 × 645,848
  4. Step 4: Simplify right side
    416,837x = 417,119,639,104
  5. Step 5: Solve for x
    x = 417,119,639,104/416,837
  6. Step 6: Final answer
    x = 1,000,678.06

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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.