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Finding the Third Proportional to 156,408 and 251,840

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Solution

The third proportional to 156,408 and 251,840 is: 405,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408 : 251,840 = 251,840 : x
  2. Step 2: Convert to fraction form
    156,408/251,840 = 251,840/x
  3. Step 3: Cross multiply
    156,408x = 251,840 × 251,840
  4. Step 4: Simplify right side
    156,408x = 63,423,385,600
  5. Step 5: Solve for x
    x = 63,423,385,600/156,408
  6. Step 6: Final answer
    x = 405,499.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.