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Finding the Third Proportional to 349,456 and 554,208

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Solution

The third proportional to 349,456 and 554,208 is: 878,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456 : 554,208 = 554,208 : x
  2. Step 2: Convert to fraction form
    349,456/554,208 = 554,208/x
  3. Step 3: Cross multiply
    349,456x = 554,208 × 554,208
  4. Step 4: Simplify right side
    349,456x = 307,146,507,264
  5. Step 5: Solve for x
    x = 307,146,507,264/349,456
  6. Step 6: Final answer
    x = 878,927.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.