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Finding the Third Proportional to 284,640 and 611,490

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Solution

The third proportional to 284,640 and 611,490 is: 1,313,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640 : 611,490 = 611,490 : x
  2. Step 2: Convert to fraction form
    284,640/611,490 = 611,490/x
  3. Step 3: Cross multiply
    284,640x = 611,490 × 611,490
  4. Step 4: Simplify right side
    284,640x = 373,920,020,100
  5. Step 5: Solve for x
    x = 373,920,020,100/284,640
  6. Step 6: Final answer
    x = 1,313,659.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.