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Finding the Third Proportional to 779,926.50 and 1,687,788

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Solution

The third proportional to 779,926.50 and 1,687,788 is: 3,652,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,926.50 : 1,687,788 = 1,687,788 : x
  2. Step 2: Convert to fraction form
    779,926.50/1,687,788 = 1,687,788/x
  3. Step 3: Cross multiply
    779,926.50x = 1,687,788 × 1,687,788
  4. Step 4: Simplify right side
    779,926.50x = 2,848,628,332,944
  5. Step 5: Solve for x
    x = 2,848,628,332,944/779,926.50
  6. Step 6: Final answer
    x = 3,652,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.