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Finding the Third Proportional to 266,496 and 551,520

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Solution

The third proportional to 266,496 and 551,520 is: 1,141,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,496 : 551,520 = 551,520 : x
  2. Step 2: Convert to fraction form
    266,496/551,520 = 551,520/x
  3. Step 3: Cross multiply
    266,496x = 551,520 × 551,520
  4. Step 4: Simplify right side
    266,496x = 304,174,310,400
  5. Step 5: Solve for x
    x = 304,174,310,400/266,496
  6. Step 6: Final answer
    x = 1,141,384.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.