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Finding the Third Proportional to 840,818 and 1,208,739

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Solution

The third proportional to 840,818 and 1,208,739 is: 1,737,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,818 : 1,208,739 = 1,208,739 : x
  2. Step 2: Convert to fraction form
    840,818/1,208,739 = 1,208,739/x
  3. Step 3: Cross multiply
    840,818x = 1,208,739 × 1,208,739
  4. Step 4: Simplify right side
    840,818x = 1,461,049,970,121
  5. Step 5: Solve for x
    x = 1,461,049,970,121/840,818
  6. Step 6: Final answer
    x = 1,737,653.06

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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.