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Finding the Third Proportional to 156,785 and 305,686

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Solution

The third proportional to 156,785 and 305,686 is: 596,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785 : 305,686 = 305,686 : x
  2. Step 2: Convert to fraction form
    156,785/305,686 = 305,686/x
  3. Step 3: Cross multiply
    156,785x = 305,686 × 305,686
  4. Step 4: Simplify right side
    156,785x = 93,443,930,596
  5. Step 5: Solve for x
    x = 93,443,930,596/156,785
  6. Step 6: Final answer
    x = 596,000.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.