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Finding the Third Proportional to 686,817 and 1,050,642

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Solution

The third proportional to 686,817 and 1,050,642 is: 1,607,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,817 : 1,050,642 = 1,050,642 : x
  2. Step 2: Convert to fraction form
    686,817/1,050,642 = 1,050,642/x
  3. Step 3: Cross multiply
    686,817x = 1,050,642 × 1,050,642
  4. Step 4: Simplify right side
    686,817x = 1,103,848,612,164
  5. Step 5: Solve for x
    x = 1,103,848,612,164/686,817
  6. Step 6: Final answer
    x = 1,607,194.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.