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Finding the Third Proportional to 786,282.50 and 1,701,098

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Solution

The third proportional to 786,282.50 and 1,701,098 is: 3,680,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,282.50 : 1,701,098 = 1,701,098 : x
  2. Step 2: Convert to fraction form
    786,282.50/1,701,098 = 1,701,098/x
  3. Step 3: Cross multiply
    786,282.50x = 1,701,098 × 1,701,098
  4. Step 4: Simplify right side
    786,282.50x = 2,893,734,405,604
  5. Step 5: Solve for x
    x = 2,893,734,405,604/786,282.50
  6. Step 6: Final answer
    x = 3,680,273.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.