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Finding the Third Proportional to 161,280 and 256,220.50

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Solution

The third proportional to 161,280 and 256,220.50 is: 407,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,280 : 256,220.50 = 256,220.50 : x
  2. Step 2: Convert to fraction form
    161,280/256,220.50 = 256,220.50/x
  3. Step 3: Cross multiply
    161,280x = 256,220.50 × 256,220.50
  4. Step 4: Simplify right side
    161,280x = 65,648,944,620.25
  5. Step 5: Solve for x
    x = 65,648,944,620.25/161,280
  6. Step 6: Final answer
    x = 407,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.