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Finding the Third Proportional to 1,214,541 and 1,815,120

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Solution

The third proportional to 1,214,541 and 1,815,120 is: 2,712,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,541 : 1,815,120 = 1,815,120 : x
  2. Step 2: Convert to fraction form
    1,214,541/1,815,120 = 1,815,120/x
  3. Step 3: Cross multiply
    1,214,541x = 1,815,120 × 1,815,120
  4. Step 4: Simplify right side
    1,214,541x = 3,294,660,614,400
  5. Step 5: Solve for x
    x = 3,294,660,614,400/1,214,541
  6. Step 6: Final answer
    x = 2,712,679.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.