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Finding the Third Proportional to 156,280 and 344,432

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Solution

The third proportional to 156,280 and 344,432 is: 759,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,280 : 344,432 = 344,432 : x
  2. Step 2: Convert to fraction form
    156,280/344,432 = 344,432/x
  3. Step 3: Cross multiply
    156,280x = 344,432 × 344,432
  4. Step 4: Simplify right side
    156,280x = 118,633,402,624
  5. Step 5: Solve for x
    x = 118,633,402,624/156,280
  6. Step 6: Final answer
    x = 759,108.03

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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.