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Finding the Third Proportional to 287,357 and 624,454

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Solution

The third proportional to 287,357 and 624,454 is: 1,356,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,357 : 624,454 = 624,454 : x
  2. Step 2: Convert to fraction form
    287,357/624,454 = 624,454/x
  3. Step 3: Cross multiply
    287,357x = 624,454 × 624,454
  4. Step 4: Simplify right side
    287,357x = 389,942,798,116
  5. Step 5: Solve for x
    x = 389,942,798,116/287,357
  6. Step 6: Final answer
    x = 1,356,997.73

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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.