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Finding the Third Proportional to 281,970 and 665,394

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Solution

The third proportional to 281,970 and 665,394 is: 1,570,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970 : 665,394 = 665,394 : x
  2. Step 2: Convert to fraction form
    281,970/665,394 = 665,394/x
  3. Step 3: Cross multiply
    281,970x = 665,394 × 665,394
  4. Step 4: Simplify right side
    281,970x = 442,749,175,236
  5. Step 5: Solve for x
    x = 442,749,175,236/281,970
  6. Step 6: Final answer
    x = 1,570,199.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.