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Finding the Third Proportional to 357,840 and 548,226

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Solution

The third proportional to 357,840 and 548,226 is: 839,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,840 : 548,226 = 548,226 : x
  2. Step 2: Convert to fraction form
    357,840/548,226 = 548,226/x
  3. Step 3: Cross multiply
    357,840x = 548,226 × 548,226
  4. Step 4: Simplify right side
    357,840x = 300,551,747,076
  5. Step 5: Solve for x
    x = 300,551,747,076/357,840
  6. Step 6: Final answer
    x = 839,905.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.