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Finding the Third Proportional to 769,028 and 1,687,816

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Solution

The third proportional to 769,028 and 1,687,816 is: 3,704,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,028 : 1,687,816 = 1,687,816 : x
  2. Step 2: Convert to fraction form
    769,028/1,687,816 = 1,687,816/x
  3. Step 3: Cross multiply
    769,028x = 1,687,816 × 1,687,816
  4. Step 4: Simplify right side
    769,028x = 2,848,722,849,856
  5. Step 5: Solve for x
    x = 2,848,722,849,856/769,028
  6. Step 6: Final answer
    x = 3,704,316.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.