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Finding the Third Proportional to 157,079 and 343,479

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Solution

The third proportional to 157,079 and 343,479 is: 751,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079 : 343,479 = 343,479 : x
  2. Step 2: Convert to fraction form
    157,079/343,479 = 343,479/x
  3. Step 3: Cross multiply
    157,079x = 343,479 × 343,479
  4. Step 4: Simplify right side
    157,079x = 117,977,823,441
  5. Step 5: Solve for x
    x = 117,977,823,441/157,079
  6. Step 6: Final answer
    x = 751,073.18

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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.