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Finding the Third Proportional to 281,832 and 437,070

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Solution

The third proportional to 281,832 and 437,070 is: 677,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,832 : 437,070 = 437,070 : x
  2. Step 2: Convert to fraction form
    281,832/437,070 = 437,070/x
  3. Step 3: Cross multiply
    281,832x = 437,070 × 437,070
  4. Step 4: Simplify right side
    281,832x = 191,030,184,900
  5. Step 5: Solve for x
    x = 191,030,184,900/281,832
  6. Step 6: Final answer
    x = 677,815.81

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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.