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Finding the Third Proportional to 156,740 and 344,580

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Solution

The third proportional to 156,740 and 344,580 is: 757,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 344,580 = 344,580 : x
  2. Step 2: Convert to fraction form
    156,740/344,580 = 344,580/x
  3. Step 3: Cross multiply
    156,740x = 344,580 × 344,580
  4. Step 4: Simplify right side
    156,740x = 118,735,376,400
  5. Step 5: Solve for x
    x = 118,735,376,400/156,740
  6. Step 6: Final answer
    x = 757,530.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.