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Finding the Third Proportional to 9,091,116 and 19,624,376.25

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Solution

The third proportional to 9,091,116 and 19,624,376.25 is: 42,361,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091,116 : 19,624,376.25 = 19,624,376.25 : x
  2. Step 2: Convert to fraction form
    9,091,116/19,624,376.25 = 19,624,376.25/x
  3. Step 3: Cross multiply
    9,091,116x = 19,624,376.25 × 19,624,376.25
  4. Step 4: Simplify right side
    9,091,116x = 385,116,143,201,564.06
  5. Step 5: Solve for x
    x = 385,116,143,201,564.06/9,091,116
  6. Step 6: Final answer
    x = 42,361,811.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.