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Finding the Third Proportional to 4,129,974 and 8,857,802.25

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Solution

The third proportional to 4,129,974 and 8,857,802.25 is: 18,997,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,974 : 8,857,802.25 = 8,857,802.25 : x
  2. Step 2: Convert to fraction form
    4,129,974/8,857,802.25 = 8,857,802.25/x
  3. Step 3: Cross multiply
    4,129,974x = 8,857,802.25 × 8,857,802.25
  4. Step 4: Simplify right side
    4,129,974x = 78,460,660,700,105.06
  5. Step 5: Solve for x
    x = 78,460,660,700,105.06/4,129,974
  6. Step 6: Final answer
    x = 18,997,858.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.