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Finding the Third Proportional to 840,834 and 1,292,355

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Solution

The third proportional to 840,834 and 1,292,355 is: 1,986,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,834 : 1,292,355 = 1,292,355 : x
  2. Step 2: Convert to fraction form
    840,834/1,292,355 = 1,292,355/x
  3. Step 3: Cross multiply
    840,834x = 1,292,355 × 1,292,355
  4. Step 4: Simplify right side
    840,834x = 1,670,181,446,025
  5. Step 5: Solve for x
    x = 1,670,181,446,025/840,834
  6. Step 6: Final answer
    x = 1,986,339.09

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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.