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Finding the Third Proportional to 156,739 and 354,749

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Solution

The third proportional to 156,739 and 354,749 is: 802,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 354,749 = 354,749 : x
  2. Step 2: Convert to fraction form
    156,739/354,749 = 354,749/x
  3. Step 3: Cross multiply
    156,739x = 354,749 × 354,749
  4. Step 4: Simplify right side
    156,739x = 125,846,853,001
  5. Step 5: Solve for x
    x = 125,846,853,001/156,739
  6. Step 6: Final answer
    x = 802,907.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.