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Finding the Third Proportional to 9,691,875 and 21,144,149

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Solution

The third proportional to 9,691,875 and 21,144,149 is: 46,128,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,875 : 21,144,149 = 21,144,149 : x
  2. Step 2: Convert to fraction form
    9,691,875/21,144,149 = 21,144,149/x
  3. Step 3: Cross multiply
    9,691,875x = 21,144,149 × 21,144,149
  4. Step 4: Simplify right side
    9,691,875x = 447,075,036,934,201
  5. Step 5: Solve for x
    x = 447,075,036,934,201/9,691,875
  6. Step 6: Final answer
    x = 46,128,848.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.