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Finding the Third Proportional to 625,516 and 1,365,728

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Solution

The third proportional to 625,516 and 1,365,728 is: 2,981,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,516 : 1,365,728 = 1,365,728 : x
  2. Step 2: Convert to fraction form
    625,516/1,365,728 = 1,365,728/x
  3. Step 3: Cross multiply
    625,516x = 1,365,728 × 1,365,728
  4. Step 4: Simplify right side
    625,516x = 1,865,212,969,984
  5. Step 5: Solve for x
    x = 1,865,212,969,984/625,516
  6. Step 6: Final answer
    x = 2,981,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.