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Finding the Third Proportional to 156,798 and 330,876

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Solution

The third proportional to 156,798 and 330,876 is: 698,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798 : 330,876 = 330,876 : x
  2. Step 2: Convert to fraction form
    156,798/330,876 = 330,876/x
  3. Step 3: Cross multiply
    156,798x = 330,876 × 330,876
  4. Step 4: Simplify right side
    156,798x = 109,478,927,376
  5. Step 5: Solve for x
    x = 109,478,927,376/156,798
  6. Step 6: Final answer
    x = 698,216.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.