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Finding the Third Proportional to 625,752 and 1,280,664

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Solution

The third proportional to 625,752 and 1,280,664 is: 2,621,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,752 : 1,280,664 = 1,280,664 : x
  2. Step 2: Convert to fraction form
    625,752/1,280,664 = 1,280,664/x
  3. Step 3: Cross multiply
    625,752x = 1,280,664 × 1,280,664
  4. Step 4: Simplify right side
    625,752x = 1,640,100,280,896
  5. Step 5: Solve for x
    x = 1,640,100,280,896/625,752
  6. Step 6: Final answer
    x = 2,621,006.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.