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Finding the Third Proportional to 830,110 and 1,282,021

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Solution

The third proportional to 830,110 and 1,282,021 is: 1,979,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,110 : 1,282,021 = 1,282,021 : x
  2. Step 2: Convert to fraction form
    830,110/1,282,021 = 1,282,021/x
  3. Step 3: Cross multiply
    830,110x = 1,282,021 × 1,282,021
  4. Step 4: Simplify right side
    830,110x = 1,643,577,844,441
  5. Step 5: Solve for x
    x = 1,643,577,844,441/830,110
  6. Step 6: Final answer
    x = 1,979,951.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.