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Finding the Third Proportional to 561,518,180 and 1,211,820,228

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Solution

The third proportional to 561,518,180 and 1,211,820,228 is: 2,615,246,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,518,180 : 1,211,820,228 = 1,211,820,228 : x
  2. Step 2: Convert to fraction form
    561,518,180/1,211,820,228 = 1,211,820,228/x
  3. Step 3: Cross multiply
    561,518,180x = 1,211,820,228 × 1,211,820,228
  4. Step 4: Simplify right side
    561,518,180x = 1,468,508,264,989,971,968
  5. Step 5: Solve for x
    x = 1,468,508,264,989,971,968/561,518,180
  6. Step 6: Final answer
    x = 2,615,246,161.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.