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Finding the Third Proportional to 285,207.75 and 619,677

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Solution

The third proportional to 285,207.75 and 619,677 is: 1,346,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,207.75 : 619,677 = 619,677 : x
  2. Step 2: Convert to fraction form
    285,207.75/619,677 = 619,677/x
  3. Step 3: Cross multiply
    285,207.75x = 619,677 × 619,677
  4. Step 4: Simplify right side
    285,207.75x = 383,999,584,329
  5. Step 5: Solve for x
    x = 383,999,584,329/285,207.75
  6. Step 6: Final answer
    x = 1,346,385.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.