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Finding the Third Proportional to 255,280 and 406,976

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Solution

The third proportional to 255,280 and 406,976 is: 648,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280 : 406,976 = 406,976 : x
  2. Step 2: Convert to fraction form
    255,280/406,976 = 406,976/x
  3. Step 3: Cross multiply
    255,280x = 406,976 × 406,976
  4. Step 4: Simplify right side
    255,280x = 165,629,464,576
  5. Step 5: Solve for x
    x = 165,629,464,576/255,280
  6. Step 6: Final answer
    x = 648,814.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.