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Finding the Third Proportional to 801,690 and 1,289,421

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Solution

The third proportional to 801,690 and 1,289,421 is: 2,073,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,690 : 1,289,421 = 1,289,421 : x
  2. Step 2: Convert to fraction form
    801,690/1,289,421 = 1,289,421/x
  3. Step 3: Cross multiply
    801,690x = 1,289,421 × 1,289,421
  4. Step 4: Simplify right side
    801,690x = 1,662,606,515,241
  5. Step 5: Solve for x
    x = 1,662,606,515,241/801,690
  6. Step 6: Final answer
    x = 2,073,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.