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Finding the Third Proportional to 279,048 and 611,178

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Solution

The third proportional to 279,048 and 611,178 is: 1,338,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,048 : 611,178 = 611,178 : x
  2. Step 2: Convert to fraction form
    279,048/611,178 = 611,178/x
  3. Step 3: Cross multiply
    279,048x = 611,178 × 611,178
  4. Step 4: Simplify right side
    279,048x = 373,538,547,684
  5. Step 5: Solve for x
    x = 373,538,547,684/279,048
  6. Step 6: Final answer
    x = 1,338,617.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.