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Finding the Third Proportional to 157,466 and 212,142

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Solution

The third proportional to 157,466 and 212,142 is: 285,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,466 : 212,142 = 212,142 : x
  2. Step 2: Convert to fraction form
    157,466/212,142 = 212,142/x
  3. Step 3: Cross multiply
    157,466x = 212,142 × 212,142
  4. Step 4: Simplify right side
    157,466x = 45,004,228,164
  5. Step 5: Solve for x
    x = 45,004,228,164/157,466
  6. Step 6: Final answer
    x = 285,802.83

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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.