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Finding the Third Proportional to 654,829 and 1,405,339

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Solution

The third proportional to 654,829 and 1,405,339 is: 3,016,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,829 : 1,405,339 = 1,405,339 : x
  2. Step 2: Convert to fraction form
    654,829/1,405,339 = 1,405,339/x
  3. Step 3: Cross multiply
    654,829x = 1,405,339 × 1,405,339
  4. Step 4: Simplify right side
    654,829x = 1,974,977,704,921
  5. Step 5: Solve for x
    x = 1,974,977,704,921/654,829
  6. Step 6: Final answer
    x = 3,016,020.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.