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Finding the Third Proportional to 842,574 and 1,292,022

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Solution

The third proportional to 842,574 and 1,292,022 is: 1,981,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,574 : 1,292,022 = 1,292,022 : x
  2. Step 2: Convert to fraction form
    842,574/1,292,022 = 1,292,022/x
  3. Step 3: Cross multiply
    842,574x = 1,292,022 × 1,292,022
  4. Step 4: Simplify right side
    842,574x = 1,669,320,848,484
  5. Step 5: Solve for x
    x = 1,669,320,848,484/842,574
  6. Step 6: Final answer
    x = 1,981,215.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.