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Finding the Third Proportional to 686,913 and 1,492,107

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Solution

The third proportional to 686,913 and 1,492,107 is: 3,241,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,913 : 1,492,107 = 1,492,107 : x
  2. Step 2: Convert to fraction form
    686,913/1,492,107 = 1,492,107/x
  3. Step 3: Cross multiply
    686,913x = 1,492,107 × 1,492,107
  4. Step 4: Simplify right side
    686,913x = 2,226,383,299,449
  5. Step 5: Solve for x
    x = 2,226,383,299,449/686,913
  6. Step 6: Final answer
    x = 3,241,143.06

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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.