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Finding the Third Proportional to 156,789 and 236,642

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Solution

The third proportional to 156,789 and 236,642 is: 357,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 236,642 = 236,642 : x
  2. Step 2: Convert to fraction form
    156,789/236,642 = 236,642/x
  3. Step 3: Cross multiply
    156,789x = 236,642 × 236,642
  4. Step 4: Simplify right side
    156,789x = 55,999,436,164
  5. Step 5: Solve for x
    x = 55,999,436,164/156,789
  6. Step 6: Final answer
    x = 357,164.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.