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Finding the Third Proportional to 156,803 and 344,820

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Solution

The third proportional to 156,803 and 344,820 is: 758,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,803 : 344,820 = 344,820 : x
  2. Step 2: Convert to fraction form
    156,803/344,820 = 344,820/x
  3. Step 3: Cross multiply
    156,803x = 344,820 × 344,820
  4. Step 4: Simplify right side
    156,803x = 118,900,832,400
  5. Step 5: Solve for x
    x = 118,900,832,400/156,803
  6. Step 6: Final answer
    x = 758,281.62

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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.