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Finding the Third Proportional to 157,922 and 345,364

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Solution

The third proportional to 157,922 and 345,364 is: 755,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,922 : 345,364 = 345,364 : x
  2. Step 2: Convert to fraction form
    157,922/345,364 = 345,364/x
  3. Step 3: Cross multiply
    157,922x = 345,364 × 345,364
  4. Step 4: Simplify right side
    157,922x = 119,276,292,496
  5. Step 5: Solve for x
    x = 119,276,292,496/157,922
  6. Step 6: Final answer
    x = 755,286.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.