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Finding the Third Proportional to 156,604 and 344,312

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Solution

The third proportional to 156,604 and 344,312 is: 757,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,604 : 344,312 = 344,312 : x
  2. Step 2: Convert to fraction form
    156,604/344,312 = 344,312/x
  3. Step 3: Cross multiply
    156,604x = 344,312 × 344,312
  4. Step 4: Simplify right side
    156,604x = 118,550,753,344
  5. Step 5: Solve for x
    x = 118,550,753,344/156,604
  6. Step 6: Final answer
    x = 757,009.74

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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.