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Finding the Third Proportional to 1,220,162,916 and 1,718,258,260.50

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Solution

The third proportional to 1,220,162,916 and 1,718,258,260.50 is: 2,419,686,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,162,916 : 1,718,258,260.50 = 1,718,258,260.50 : x
  2. Step 2: Convert to fraction form
    1,220,162,916/1,718,258,260.50 = 1,718,258,260.50/x
  3. Step 3: Cross multiply
    1,220,162,916x = 1,718,258,260.50 × 1,718,258,260.50
  4. Step 4: Simplify right side
    1,220,162,916x = 2,952,411,449,776,485,888
  5. Step 5: Solve for x
    x = 2,952,411,449,776,485,888/1,220,162,916
  6. Step 6: Final answer
    x = 2,419,686,265.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.