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Finding the Third Proportional to 117,165,103,497 and 254,303,885,546

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Solution

The third proportional to 117,165,103,497 and 254,303,885,546 is: 551,960,133,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,165,103,497 : 254,303,885,546 = 254,303,885,546 : x
  2. Step 2: Convert to fraction form
    117,165,103,497/254,303,885,546 = 254,303,885,546/x
  3. Step 3: Cross multiply
    117,165,103,497x = 254,303,885,546 × 254,303,885,546
  4. Step 4: Simplify right side
    117,165,103,497x = 64,670,466,203,793,068,392,448
  5. Step 5: Solve for x
    x = 64,670,466,203,793,068,392,448/117,165,103,497
  6. Step 6: Final answer
    x = 551,960,133,807.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.