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Finding the Third Proportional to 447,228 and 712,331

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Solution

The third proportional to 447,228 and 712,331 is: 1,134,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,228 : 712,331 = 712,331 : x
  2. Step 2: Convert to fraction form
    447,228/712,331 = 712,331/x
  3. Step 3: Cross multiply
    447,228x = 712,331 × 712,331
  4. Step 4: Simplify right side
    447,228x = 507,415,453,561
  5. Step 5: Solve for x
    x = 507,415,453,561/447,228
  6. Step 6: Final answer
    x = 1,134,578.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.