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Finding the Third Proportional to 284,116 and 612,511

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Solution

The third proportional to 284,116 and 612,511 is: 1,320,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,116 : 612,511 = 612,511 : x
  2. Step 2: Convert to fraction form
    284,116/612,511 = 612,511/x
  3. Step 3: Cross multiply
    284,116x = 612,511 × 612,511
  4. Step 4: Simplify right side
    284,116x = 375,169,725,121
  5. Step 5: Solve for x
    x = 375,169,725,121/284,116
  6. Step 6: Final answer
    x = 1,320,480.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.