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Finding the Third Proportional to 287,367 and 624,477

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Solution

The third proportional to 287,367 and 624,477 is: 1,357,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,367 : 624,477 = 624,477 : x
  2. Step 2: Convert to fraction form
    287,367/624,477 = 624,477/x
  3. Step 3: Cross multiply
    287,367x = 624,477 × 624,477
  4. Step 4: Simplify right side
    287,367x = 389,971,523,529
  5. Step 5: Solve for x
    x = 389,971,523,529/287,367
  6. Step 6: Final answer
    x = 1,357,050.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.