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Finding the Third Proportional to 157,828 and 212,644

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Solution

The third proportional to 157,828 and 212,644 is: 286,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,828 : 212,644 = 212,644 : x
  2. Step 2: Convert to fraction form
    157,828/212,644 = 212,644/x
  3. Step 3: Cross multiply
    157,828x = 212,644 × 212,644
  4. Step 4: Simplify right side
    157,828x = 45,217,470,736
  5. Step 5: Solve for x
    x = 45,217,470,736/157,828
  6. Step 6: Final answer
    x = 286,498.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.