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Finding the Third Proportional to 840,822 and 1,208,745

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Solution

The third proportional to 840,822 and 1,208,745 is: 1,737,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,822 : 1,208,745 = 1,208,745 : x
  2. Step 2: Convert to fraction form
    840,822/1,208,745 = 1,208,745/x
  3. Step 3: Cross multiply
    840,822x = 1,208,745 × 1,208,745
  4. Step 4: Simplify right side
    840,822x = 1,461,064,475,025
  5. Step 5: Solve for x
    x = 1,461,064,475,025/840,822
  6. Step 6: Final answer
    x = 1,737,662.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.