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Finding the Third Proportional to 284,640 and 604,320

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Solution

The third proportional to 284,640 and 604,320 is: 1,283,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640 : 604,320 = 604,320 : x
  2. Step 2: Convert to fraction form
    284,640/604,320 = 604,320/x
  3. Step 3: Cross multiply
    284,640x = 604,320 × 604,320
  4. Step 4: Simplify right side
    284,640x = 365,202,662,400
  5. Step 5: Solve for x
    x = 365,202,662,400/284,640
  6. Step 6: Final answer
    x = 1,283,033.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.