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Finding the Third Proportional to 458,828 and 687,922

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Solution

The third proportional to 458,828 and 687,922 is: 1,031,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,828 : 687,922 = 687,922 : x
  2. Step 2: Convert to fraction form
    458,828/687,922 = 687,922/x
  3. Step 3: Cross multiply
    458,828x = 687,922 × 687,922
  4. Step 4: Simplify right side
    458,828x = 473,236,678,084
  5. Step 5: Solve for x
    x = 473,236,678,084/458,828
  6. Step 6: Final answer
    x = 1,031,403.22

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Why These Related Problems?

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