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Finding the Third Proportional to 459,319.50 and 689,436

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Solution

The third proportional to 459,319.50 and 689,436 is: 1,034,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,319.50 : 689,436 = 689,436 : x
  2. Step 2: Convert to fraction form
    459,319.50/689,436 = 689,436/x
  3. Step 3: Cross multiply
    459,319.50x = 689,436 × 689,436
  4. Step 4: Simplify right side
    459,319.50x = 475,321,998,096
  5. Step 5: Solve for x
    x = 475,321,998,096/459,319.50
  6. Step 6: Final answer
    x = 1,034,839.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.