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Finding the Third Proportional to 1,298,616,550.25 and 2,781,111,721

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Solution

The third proportional to 1,298,616,550.25 and 2,781,111,721 is: 5,956,017,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,616,550.25 : 2,781,111,721 = 2,781,111,721 : x
  2. Step 2: Convert to fraction form
    1,298,616,550.25/2,781,111,721 = 2,781,111,721/x
  3. Step 3: Cross multiply
    1,298,616,550.25x = 2,781,111,721 × 2,781,111,721
  4. Step 4: Simplify right side
    1,298,616,550.25x = 7,734,582,404,683,581,440
  5. Step 5: Solve for x
    x = 7,734,582,404,683,581,440/1,298,616,550.25
  6. Step 6: Final answer
    x = 5,956,017,119.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.