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Finding the Third Proportional to 912,189,006 and 1,991,582,643.38

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Solution

The third proportional to 912,189,006 and 1,991,582,643.38 is: 4,348,223,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,189,006 : 1,991,582,643.38 = 1,991,582,643.38 : x
  2. Step 2: Convert to fraction form
    912,189,006/1,991,582,643.38 = 1,991,582,643.38/x
  3. Step 3: Cross multiply
    912,189,006x = 1,991,582,643.38 × 1,991,582,643.38
  4. Step 4: Simplify right side
    912,189,006x = 3,966,401,425,392,552,448
  5. Step 5: Solve for x
    x = 3,966,401,425,392,552,448/912,189,006
  6. Step 6: Final answer
    x = 4,348,223,229.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.