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Finding the Third Proportional to 618,015 and 1,488,341

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Solution

The third proportional to 618,015 and 1,488,341 is: 3,584,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,015 : 1,488,341 = 1,488,341 : x
  2. Step 2: Convert to fraction form
    618,015/1,488,341 = 1,488,341/x
  3. Step 3: Cross multiply
    618,015x = 1,488,341 × 1,488,341
  4. Step 4: Simplify right side
    618,015x = 2,215,158,932,281
  5. Step 5: Solve for x
    x = 2,215,158,932,281/618,015
  6. Step 6: Final answer
    x = 3,584,312.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.