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Finding the Third Proportional to 1,022,191,386 and 2,223,481,332

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Solution

The third proportional to 1,022,191,386 and 2,223,481,332 is: 4,836,539,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,191,386 : 2,223,481,332 = 2,223,481,332 : x
  2. Step 2: Convert to fraction form
    1,022,191,386/2,223,481,332 = 2,223,481,332/x
  3. Step 3: Cross multiply
    1,022,191,386x = 2,223,481,332 × 2,223,481,332
  4. Step 4: Simplify right side
    1,022,191,386x = 4,943,869,233,752,494,080
  5. Step 5: Solve for x
    x = 4,943,869,233,752,494,080/1,022,191,386
  6. Step 6: Final answer
    x = 4,836,539,714.05

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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.