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Finding the Third Proportional to 285,140 and 441,361

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Solution

The third proportional to 285,140 and 441,361 is: 683,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,140 : 441,361 = 441,361 : x
  2. Step 2: Convert to fraction form
    285,140/441,361 = 441,361/x
  3. Step 3: Cross multiply
    285,140x = 441,361 × 441,361
  4. Step 4: Simplify right side
    285,140x = 194,799,532,321
  5. Step 5: Solve for x
    x = 194,799,532,321/285,140
  6. Step 6: Final answer
    x = 683,171.54

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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.