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Finding the Third Proportional to 388,279.25 and 830,532.75

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Solution

The third proportional to 388,279.25 and 830,532.75 is: 1,776,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,279.25 : 830,532.75 = 830,532.75 : x
  2. Step 2: Convert to fraction form
    388,279.25/830,532.75 = 830,532.75/x
  3. Step 3: Cross multiply
    388,279.25x = 830,532.75 × 830,532.75
  4. Step 4: Simplify right side
    388,279.25x = 689,784,648,822.56
  5. Step 5: Solve for x
    x = 689,784,648,822.56/388,279.25
  6. Step 6: Final answer
    x = 1,776,516.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.