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Finding the Third Proportional to 285,264 and 441,720

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Solution

The third proportional to 285,264 and 441,720 is: 683,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,264 : 441,720 = 441,720 : x
  2. Step 2: Convert to fraction form
    285,264/441,720 = 441,720/x
  3. Step 3: Cross multiply
    285,264x = 441,720 × 441,720
  4. Step 4: Simplify right side
    285,264x = 195,116,558,400
  5. Step 5: Solve for x
    x = 195,116,558,400/285,264
  6. Step 6: Final answer
    x = 683,985.92

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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.