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Finding the Third Proportional to 286,050 and 428,523

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Solution

The third proportional to 286,050 and 428,523 is: 641,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,050 : 428,523 = 428,523 : x
  2. Step 2: Convert to fraction form
    286,050/428,523 = 428,523/x
  3. Step 3: Cross multiply
    286,050x = 428,523 × 428,523
  4. Step 4: Simplify right side
    286,050x = 183,631,961,529
  5. Step 5: Solve for x
    x = 183,631,961,529/286,050
  6. Step 6: Final answer
    x = 641,957.57

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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.