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Finding the Third Proportional to 234,580 and 515,816

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Solution

The third proportional to 234,580 and 515,816 is: 1,134,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,580 : 515,816 = 515,816 : x
  2. Step 2: Convert to fraction form
    234,580/515,816 = 515,816/x
  3. Step 3: Cross multiply
    234,580x = 515,816 × 515,816
  4. Step 4: Simplify right side
    234,580x = 266,066,145,856
  5. Step 5: Solve for x
    x = 266,066,145,856/234,580
  6. Step 6: Final answer
    x = 1,134,223.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.