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Finding the Third Proportional to 686,911 and 1,492,103

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Solution

The third proportional to 686,911 and 1,492,103 is: 3,241,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,911 : 1,492,103 = 1,492,103 : x
  2. Step 2: Convert to fraction form
    686,911/1,492,103 = 1,492,103/x
  3. Step 3: Cross multiply
    686,911x = 1,492,103 × 1,492,103
  4. Step 4: Simplify right side
    686,911x = 2,226,371,362,609
  5. Step 5: Solve for x
    x = 2,226,371,362,609/686,911
  6. Step 6: Final answer
    x = 3,241,135.11

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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.