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Finding the Third Proportional to 840,836 and 1,208,764

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Solution

The third proportional to 840,836 and 1,208,764 is: 1,737,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,836 : 1,208,764 = 1,208,764 : x
  2. Step 2: Convert to fraction form
    840,836/1,208,764 = 1,208,764/x
  3. Step 3: Cross multiply
    840,836x = 1,208,764 × 1,208,764
  4. Step 4: Simplify right side
    840,836x = 1,461,110,407,696
  5. Step 5: Solve for x
    x = 1,461,110,407,696/840,836
  6. Step 6: Final answer
    x = 1,737,687.74

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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.