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Finding the Third Proportional to 401,911 and 553,645

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Solution

The third proportional to 401,911 and 553,645 is: 762,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,911 : 553,645 = 553,645 : x
  2. Step 2: Convert to fraction form
    401,911/553,645 = 553,645/x
  3. Step 3: Cross multiply
    401,911x = 553,645 × 553,645
  4. Step 4: Simplify right side
    401,911x = 306,522,786,025
  5. Step 5: Solve for x
    x = 306,522,786,025/401,911
  6. Step 6: Final answer
    x = 762,663.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.