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Finding the Third Proportional to 2,129,872.13 and 4,584,513.88

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Solution

The third proportional to 2,129,872.13 and 4,584,513.88 is: 9,868,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,872.13 : 4,584,513.88 = 4,584,513.88 : x
  2. Step 2: Convert to fraction form
    2,129,872.13/4,584,513.88 = 4,584,513.88/x
  3. Step 3: Cross multiply
    2,129,872.13x = 4,584,513.88 × 4,584,513.88
  4. Step 4: Simplify right side
    2,129,872.13x = 21,017,767,470,067.52
  5. Step 5: Solve for x
    x = 21,017,767,470,067.52/2,129,872.13
  6. Step 6: Final answer
    x = 9,868,088.90

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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.