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Finding the Third Proportional to 686,904 and 1,492,089

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Solution

The third proportional to 686,904 and 1,492,089 is: 3,241,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,904 : 1,492,089 = 1,492,089 : x
  2. Step 2: Convert to fraction form
    686,904/1,492,089 = 1,492,089/x
  3. Step 3: Cross multiply
    686,904x = 1,492,089 × 1,492,089
  4. Step 4: Simplify right side
    686,904x = 2,226,329,583,921
  5. Step 5: Solve for x
    x = 2,226,329,583,921/686,904
  6. Step 6: Final answer
    x = 3,241,107.32

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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.