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Finding the Third Proportional to 1,280,399,892.75 and 1,920,599,721

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Solution

The third proportional to 1,280,399,892.75 and 1,920,599,721 is: 2,880,899,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,399,892.75 : 1,920,599,721 = 1,920,599,721 : x
  2. Step 2: Convert to fraction form
    1,280,399,892.75/1,920,599,721 = 1,920,599,721/x
  3. Step 3: Cross multiply
    1,280,399,892.75x = 1,920,599,721 × 1,920,599,721
  4. Step 4: Simplify right side
    1,280,399,892.75x = 3,688,703,288,305,277,952
  5. Step 5: Solve for x
    x = 3,688,703,288,305,277,952/1,280,399,892.75
  6. Step 6: Final answer
    x = 2,880,899,404.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.