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Finding the Third Proportional to 55,924,373,748 and 122,675,994,246

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Solution

The third proportional to 55,924,373,748 and 122,675,994,246 is: 269,102,692,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924,373,748 : 122,675,994,246 = 122,675,994,246 : x
  2. Step 2: Convert to fraction form
    55,924,373,748/122,675,994,246 = 122,675,994,246/x
  3. Step 3: Cross multiply
    55,924,373,748x = 122,675,994,246 × 122,675,994,246
  4. Step 4: Simplify right side
    55,924,373,748x = 15,049,399,564,244,625,653,760
  5. Step 5: Solve for x
    x = 15,049,399,564,244,625,653,760/55,924,373,748
  6. Step 6: Final answer
    x = 269,102,692,719.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.