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Finding the Third Proportional to 421,056 and 609,471

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Solution

The third proportional to 421,056 and 609,471 is: 882,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,056 : 609,471 = 609,471 : x
  2. Step 2: Convert to fraction form
    421,056/609,471 = 609,471/x
  3. Step 3: Cross multiply
    421,056x = 609,471 × 609,471
  4. Step 4: Simplify right side
    421,056x = 371,454,899,841
  5. Step 5: Solve for x
    x = 371,454,899,841/421,056
  6. Step 6: Final answer
    x = 882,198.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.