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Finding the Third Proportional to 56,117,643,550 and 122,114,254,460

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Solution

The third proportional to 56,117,643,550 and 122,114,254,460 is: 265,725,540,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117,643,550 : 122,114,254,460 = 122,114,254,460 : x
  2. Step 2: Convert to fraction form
    56,117,643,550/122,114,254,460 = 122,114,254,460/x
  3. Step 3: Cross multiply
    56,117,643,550x = 122,114,254,460 × 122,114,254,460
  4. Step 4: Simplify right side
    56,117,643,550x = 14,911,891,142,321,629,036,544
  5. Step 5: Solve for x
    x = 14,911,891,142,321,629,036,544/56,117,643,550
  6. Step 6: Final answer
    x = 265,725,540,115.30

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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.