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Finding the Third Proportional to 403,904 and 627,166

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Solution

The third proportional to 403,904 and 627,166 is: 973,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,904 : 627,166 = 627,166 : x
  2. Step 2: Convert to fraction form
    403,904/627,166 = 627,166/x
  3. Step 3: Cross multiply
    403,904x = 627,166 × 627,166
  4. Step 4: Simplify right side
    403,904x = 393,337,191,556
  5. Step 5: Solve for x
    x = 393,337,191,556/403,904
  6. Step 6: Final answer
    x = 973,838.32

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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.