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Finding the Third Proportional to 56,117,643,568 and 122,114,254,492

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Solution

The third proportional to 56,117,643,568 and 122,114,254,492 is: 265,725,540,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117,643,568 : 122,114,254,492 = 122,114,254,492 : x
  2. Step 2: Convert to fraction form
    56,117,643,568/122,114,254,492 = 122,114,254,492/x
  3. Step 3: Cross multiply
    56,117,643,568x = 122,114,254,492 × 122,114,254,492
  4. Step 4: Simplify right side
    56,117,643,568x = 14,911,891,150,136,942,788,608
  5. Step 5: Solve for x
    x = 14,911,891,150,136,942,788,608/56,117,643,568
  6. Step 6: Final answer
    x = 265,725,540,169.33

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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.