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Finding the Third Proportional to 454,357 and 712,811

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Solution

The third proportional to 454,357 and 712,811 is: 1,118,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,357 : 712,811 = 712,811 : x
  2. Step 2: Convert to fraction form
    454,357/712,811 = 712,811/x
  3. Step 3: Cross multiply
    454,357x = 712,811 × 712,811
  4. Step 4: Simplify right side
    454,357x = 508,099,521,721
  5. Step 5: Solve for x
    x = 508,099,521,721/454,357
  6. Step 6: Final answer
    x = 1,118,282.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.