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Finding the Third Proportional to 648,781 and 1,393,457

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Solution

The third proportional to 648,781 and 1,393,457 is: 2,992,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,781 : 1,393,457 = 1,393,457 : x
  2. Step 2: Convert to fraction form
    648,781/1,393,457 = 1,393,457/x
  3. Step 3: Cross multiply
    648,781x = 1,393,457 × 1,393,457
  4. Step 4: Simplify right side
    648,781x = 1,941,722,410,849
  5. Step 5: Solve for x
    x = 1,941,722,410,849/648,781
  6. Step 6: Final answer
    x = 2,992,878.04

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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.