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Finding the Third Proportional to 251,410.50 and 322,795.13

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Solution

The third proportional to 251,410.50 and 322,795.13 is: 414,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,410.50 : 322,795.13 = 322,795.13 : x
  2. Step 2: Convert to fraction form
    251,410.50/322,795.13 = 322,795.13/x
  3. Step 3: Cross multiply
    251,410.50x = 322,795.13 × 322,795.13
  4. Step 4: Simplify right side
    251,410.50x = 104,196,692,723.77
  5. Step 5: Solve for x
    x = 104,196,692,723.77/251,410.50
  6. Step 6: Final answer
    x = 414,448.45

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.