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Finding the Third Proportional to 157,282 and 342,211

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Solution

The third proportional to 157,282 and 342,211 is: 744,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,282 : 342,211 = 342,211 : x
  2. Step 2: Convert to fraction form
    157,282/342,211 = 342,211/x
  3. Step 3: Cross multiply
    157,282x = 342,211 × 342,211
  4. Step 4: Simplify right side
    157,282x = 117,108,368,521
  5. Step 5: Solve for x
    x = 117,108,368,521/157,282
  6. Step 6: Final answer
    x = 744,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.