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Finding the Third Proportional to 286,624 and 428,352

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Solution

The third proportional to 286,624 and 428,352 is: 640,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,624 : 428,352 = 428,352 : x
  2. Step 2: Convert to fraction form
    286,624/428,352 = 428,352/x
  3. Step 3: Cross multiply
    286,624x = 428,352 × 428,352
  4. Step 4: Simplify right side
    286,624x = 183,485,435,904
  5. Step 5: Solve for x
    x = 183,485,435,904/286,624
  6. Step 6: Final answer
    x = 640,160.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.