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Finding the Third Proportional to 285,284 and 441,502

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Solution

The third proportional to 285,284 and 441,502 is: 683,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,284 : 441,502 = 441,502 : x
  2. Step 2: Convert to fraction form
    285,284/441,502 = 441,502/x
  3. Step 3: Cross multiply
    285,284x = 441,502 × 441,502
  4. Step 4: Simplify right side
    285,284x = 194,924,016,004
  5. Step 5: Solve for x
    x = 194,924,016,004/285,284
  6. Step 6: Final answer
    x = 683,263.05

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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.