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Finding the Third Proportional to 157,861 and 348,945

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Solution

The third proportional to 157,861 and 348,945 is: 771,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,861 : 348,945 = 348,945 : x
  2. Step 2: Convert to fraction form
    157,861/348,945 = 348,945/x
  3. Step 3: Cross multiply
    157,861x = 348,945 × 348,945
  4. Step 4: Simplify right side
    157,861x = 121,762,613,025
  5. Step 5: Solve for x
    x = 121,762,613,025/157,861
  6. Step 6: Final answer
    x = 771,328.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.