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Finding the Third Proportional to 157,728.83 and 346,998.30

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Solution

The third proportional to 157,728.83 and 346,998.30 is: 763,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,728.83 : 346,998.30 = 346,998.30 : x
  2. Step 2: Convert to fraction form
    157,728.83/346,998.30 = 346,998.30/x
  3. Step 3: Cross multiply
    157,728.83x = 346,998.30 × 346,998.30
  4. Step 4: Simplify right side
    157,728.83x = 120,407,823,456.00
  5. Step 5: Solve for x
    x = 120,407,823,456.00/157,728.83
  6. Step 6: Final answer
    x = 763,384.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.