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Finding the Third Proportional to 777,836 and 1,270,128

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Solution

The third proportional to 777,836 and 1,270,128 is: 2,073,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,836 : 1,270,128 = 1,270,128 : x
  2. Step 2: Convert to fraction form
    777,836/1,270,128 = 1,270,128/x
  3. Step 3: Cross multiply
    777,836x = 1,270,128 × 1,270,128
  4. Step 4: Simplify right side
    777,836x = 1,613,225,136,384
  5. Step 5: Solve for x
    x = 1,613,225,136,384/777,836
  6. Step 6: Final answer
    x = 2,073,991.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.