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Finding the Third Proportional to 357,890.27 and 778,751.09

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Solution

The third proportional to 357,890.27 and 778,751.09 is: 1,694,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,890.27 : 778,751.09 = 778,751.09 : x
  2. Step 2: Convert to fraction form
    357,890.27/778,751.09 = 778,751.09/x
  3. Step 3: Cross multiply
    357,890.27x = 778,751.09 × 778,751.09
  4. Step 4: Simplify right side
    357,890.27x = 606,453,253,848.84
  5. Step 5: Solve for x
    x = 606,453,253,848.84/357,890.27
  6. Step 6: Final answer
    x = 1,694,522.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.