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Finding the Third Proportional to 354,102 and 548,289

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Solution

The third proportional to 354,102 and 548,289 is: 848,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,102 : 548,289 = 548,289 : x
  2. Step 2: Convert to fraction form
    354,102/548,289 = 548,289/x
  3. Step 3: Cross multiply
    354,102x = 548,289 × 548,289
  4. Step 4: Simplify right side
    354,102x = 300,620,827,521
  5. Step 5: Solve for x
    x = 300,620,827,521/354,102
  6. Step 6: Final answer
    x = 848,966.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.