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Finding the Third Proportional to 336,406 and 515,121

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Solution

The third proportional to 336,406 and 515,121 is: 788,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,406 : 515,121 = 515,121 : x
  2. Step 2: Convert to fraction form
    336,406/515,121 = 515,121/x
  3. Step 3: Cross multiply
    336,406x = 515,121 × 515,121
  4. Step 4: Simplify right side
    336,406x = 265,349,644,641
  5. Step 5: Solve for x
    x = 265,349,644,641/336,406
  6. Step 6: Final answer
    x = 788,777.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.