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Finding the Third Proportional to 452,640 and 992,328

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Solution

The third proportional to 452,640 and 992,328 is: 2,175,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,640 : 992,328 = 992,328 : x
  2. Step 2: Convert to fraction form
    452,640/992,328 = 992,328/x
  3. Step 3: Cross multiply
    452,640x = 992,328 × 992,328
  4. Step 4: Simplify right side
    452,640x = 984,714,859,584
  5. Step 5: Solve for x
    x = 984,714,859,584/452,640
  6. Step 6: Final answer
    x = 2,175,492.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.