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Finding the Third Proportional to 354,705 and 778,392.75

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Solution

The third proportional to 354,705 and 778,392.75 is: 1,708,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,705 : 778,392.75 = 778,392.75 : x
  2. Step 2: Convert to fraction form
    354,705/778,392.75 = 778,392.75/x
  3. Step 3: Cross multiply
    354,705x = 778,392.75 × 778,392.75
  4. Step 4: Simplify right side
    354,705x = 605,895,273,252.56
  5. Step 5: Solve for x
    x = 605,895,273,252.56/354,705
  6. Step 6: Final answer
    x = 1,708,166.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.