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Finding the Third Proportional to 379,278 and 554,904

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Solution

The third proportional to 379,278 and 554,904 is: 811,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,278 : 554,904 = 554,904 : x
  2. Step 2: Convert to fraction form
    379,278/554,904 = 554,904/x
  3. Step 3: Cross multiply
    379,278x = 554,904 × 554,904
  4. Step 4: Simplify right side
    379,278x = 307,918,449,216
  5. Step 5: Solve for x
    x = 307,918,449,216/379,278
  6. Step 6: Final answer
    x = 811,854.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.