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Finding the Third Proportional to 421,511 and 632,277

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Solution

The third proportional to 421,511 and 632,277 is: 948,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,511 : 632,277 = 632,277 : x
  2. Step 2: Convert to fraction form
    421,511/632,277 = 632,277/x
  3. Step 3: Cross multiply
    421,511x = 632,277 × 632,277
  4. Step 4: Simplify right side
    421,511x = 399,774,204,729
  5. Step 5: Solve for x
    x = 399,774,204,729/421,511
  6. Step 6: Final answer
    x = 948,431.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.