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Finding the Third Proportional to 156,789 and 343,602

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Solution

The third proportional to 156,789 and 343,602 is: 753,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 343,602 = 343,602 : x
  2. Step 2: Convert to fraction form
    156,789/343,602 = 343,602/x
  3. Step 3: Cross multiply
    156,789x = 343,602 × 343,602
  4. Step 4: Simplify right side
    156,789x = 118,062,334,404
  5. Step 5: Solve for x
    x = 118,062,334,404/156,789
  6. Step 6: Final answer
    x = 753,001.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.