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Finding the Third Proportional to 10,986,489 and 23,864,428.50

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Solution

The third proportional to 10,986,489 and 23,864,428.50 is: 51,837,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986,489 : 23,864,428.50 = 23,864,428.50 : x
  2. Step 2: Convert to fraction form
    10,986,489/23,864,428.50 = 23,864,428.50/x
  3. Step 3: Cross multiply
    10,986,489x = 23,864,428.50 × 23,864,428.50
  4. Step 4: Simplify right side
    10,986,489x = 569,510,947,631,612.25
  5. Step 5: Solve for x
    x = 569,510,947,631,612.25/10,986,489
  6. Step 6: Final answer
    x = 51,837,392.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.