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Finding the Third Proportional to 123,110,364 and 192,118,842

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Solution

The third proportional to 123,110,364 and 192,118,842 is: 299,809,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,110,364 : 192,118,842 = 192,118,842 : x
  2. Step 2: Convert to fraction form
    123,110,364/192,118,842 = 192,118,842/x
  3. Step 3: Cross multiply
    123,110,364x = 192,118,842 × 192,118,842
  4. Step 4: Simplify right side
    123,110,364x = 36,909,649,451,420,960
  5. Step 5: Solve for x
    x = 36,909,649,451,420,960/123,110,364
  6. Step 6: Final answer
    x = 299,809,441.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.