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Finding the Third Proportional to 279,062 and 417,501

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Solution

The third proportional to 279,062 and 417,501 is: 624,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,062 : 417,501 = 417,501 : x
  2. Step 2: Convert to fraction form
    279,062/417,501 = 417,501/x
  3. Step 3: Cross multiply
    279,062x = 417,501 × 417,501
  4. Step 4: Simplify right side
    279,062x = 174,307,085,001
  5. Step 5: Solve for x
    x = 174,307,085,001/279,062
  6. Step 6: Final answer
    x = 624,617.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.