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Finding the Third Proportional to 286,000 and 428,448

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Solution

The third proportional to 286,000 and 428,448 is: 641,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,000 : 428,448 = 428,448 : x
  2. Step 2: Convert to fraction form
    286,000/428,448 = 428,448/x
  3. Step 3: Cross multiply
    286,000x = 428,448 × 428,448
  4. Step 4: Simplify right side
    286,000x = 183,567,688,704
  5. Step 5: Solve for x
    x = 183,567,688,704/286,000
  6. Step 6: Final answer
    x = 641,845.07

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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.