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Finding the Third Proportional to 445,056 and 671,400

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Solution

The third proportional to 445,056 and 671,400 is: 1,012,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,056 : 671,400 = 671,400 : x
  2. Step 2: Convert to fraction form
    445,056/671,400 = 671,400/x
  3. Step 3: Cross multiply
    445,056x = 671,400 × 671,400
  4. Step 4: Simplify right side
    445,056x = 450,777,960,000
  5. Step 5: Solve for x
    x = 450,777,960,000/445,056
  6. Step 6: Final answer
    x = 1,012,856.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.