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Finding the Third Proportional to 403,422 and 548,178

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Solution

The third proportional to 403,422 and 548,178 is: 744,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,422 : 548,178 = 548,178 : x
  2. Step 2: Convert to fraction form
    403,422/548,178 = 548,178/x
  3. Step 3: Cross multiply
    403,422x = 548,178 × 548,178
  4. Step 4: Simplify right side
    403,422x = 300,499,119,684
  5. Step 5: Solve for x
    x = 300,499,119,684/403,422
  6. Step 6: Final answer
    x = 744,875.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.