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Finding the Third Proportional to 686,757 and 1,487,917.50

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Solution

The third proportional to 686,757 and 1,487,917.50 is: 3,223,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,757 : 1,487,917.50 = 1,487,917.50 : x
  2. Step 2: Convert to fraction form
    686,757/1,487,917.50 = 1,487,917.50/x
  3. Step 3: Cross multiply
    686,757x = 1,487,917.50 × 1,487,917.50
  4. Step 4: Simplify right side
    686,757x = 2,213,898,486,806.25
  5. Step 5: Solve for x
    x = 2,213,898,486,806.25/686,757
  6. Step 6: Final answer
    x = 3,223,699.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.