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Finding the Third Proportional to 1,743,480,368 and 3,719,722,132

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Solution

The third proportional to 1,743,480,368 and 3,719,722,132 is: 7,936,041,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,480,368 : 3,719,722,132 = 3,719,722,132 : x
  2. Step 2: Convert to fraction form
    1,743,480,368/3,719,722,132 = 3,719,722,132/x
  3. Step 3: Cross multiply
    1,743,480,368x = 3,719,722,132 × 3,719,722,132
  4. Step 4: Simplify right side
    1,743,480,368x = 13,836,332,739,290,626,048
  5. Step 5: Solve for x
    x = 13,836,332,739,290,626,048/1,743,480,368
  6. Step 6: Final answer
    x = 7,936,041,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.