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Finding the Third Proportional to 275,923.13 and 427,411.69

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Solution

The third proportional to 275,923.13 and 427,411.69 is: 662,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,923.13 : 427,411.69 = 427,411.69 : x
  2. Step 2: Convert to fraction form
    275,923.13/427,411.69 = 427,411.69/x
  3. Step 3: Cross multiply
    275,923.13x = 427,411.69 × 427,411.69
  4. Step 4: Simplify right side
    275,923.13x = 182,680,750,611.60
  5. Step 5: Solve for x
    x = 182,680,750,611.60/275,923.13
  6. Step 6: Final answer
    x = 662,071.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.