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Finding the Third Proportional to 78,947,824 and 118,421,736

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Solution

The third proportional to 78,947,824 and 118,421,736 is: 177,632,604

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,947,824 : 118,421,736 = 118,421,736 : x
  2. Step 2: Convert to fraction form
    78,947,824/118,421,736 = 118,421,736/x
  3. Step 3: Cross multiply
    78,947,824x = 118,421,736 × 118,421,736
  4. Step 4: Simplify right side
    78,947,824x = 14,023,707,557,253,696
  5. Step 5: Solve for x
    x = 14,023,707,557,253,696/78,947,824
  6. Step 6: Final answer
    x = 177,632,604

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.