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Finding the Third Proportional to 56,117,643,533 and 122,114,254,426

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Solution

The third proportional to 56,117,643,533 and 122,114,254,426 is: 265,725,540,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117,643,533 : 122,114,254,426 = 122,114,254,426 : x
  2. Step 2: Convert to fraction form
    56,117,643,533/122,114,254,426 = 122,114,254,426/x
  3. Step 3: Cross multiply
    56,117,643,533x = 122,114,254,426 × 122,114,254,426
  4. Step 4: Simplify right side
    56,117,643,533x = 14,911,891,134,017,861,320,704
  5. Step 5: Solve for x
    x = 14,911,891,134,017,861,320,704/56,117,643,533
  6. Step 6: Final answer
    x = 265,725,540,047.83

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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.