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Finding the Third Proportional to 157,058 and 340,876

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Solution

The third proportional to 157,058 and 340,876 is: 739,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,058 : 340,876 = 340,876 : x
  2. Step 2: Convert to fraction form
    157,058/340,876 = 340,876/x
  3. Step 3: Cross multiply
    157,058x = 340,876 × 340,876
  4. Step 4: Simplify right side
    157,058x = 116,196,447,376
  5. Step 5: Solve for x
    x = 116,196,447,376/157,058
  6. Step 6: Final answer
    x = 739,831.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.