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Finding the Third Proportional to 156,363 and 368,749.50

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Solution

The third proportional to 156,363 and 368,749.50 is: 869,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,363 : 368,749.50 = 368,749.50 : x
  2. Step 2: Convert to fraction form
    156,363/368,749.50 = 368,749.50/x
  3. Step 3: Cross multiply
    156,363x = 368,749.50 × 368,749.50
  4. Step 4: Simplify right side
    156,363x = 135,976,193,750.25
  5. Step 5: Solve for x
    x = 135,976,193,750.25/156,363
  6. Step 6: Final answer
    x = 869,618.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.