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Finding the Third Proportional to 909,073.55 and 1,407,578.77

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Solution

The third proportional to 909,073.55 and 1,407,578.77 is: 2,179,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,073.55 : 1,407,578.77 = 1,407,578.77 : x
  2. Step 2: Convert to fraction form
    909,073.55/1,407,578.77 = 1,407,578.77/x
  3. Step 3: Cross multiply
    909,073.55x = 1,407,578.77 × 1,407,578.77
  4. Step 4: Simplify right side
    909,073.55x = 1,981,277,981,438.40
  5. Step 5: Solve for x
    x = 1,981,277,981,438.40/909,073.55
  6. Step 6: Final answer
    x = 2,179,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.