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Finding the Third Proportional to 78,941,696 and 121,495,296

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Solution

The third proportional to 78,941,696 and 121,495,296 is: 186,987,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,941,696 : 121,495,296 = 121,495,296 : x
  2. Step 2: Convert to fraction form
    78,941,696/121,495,296 = 121,495,296/x
  3. Step 3: Cross multiply
    78,941,696x = 121,495,296 × 121,495,296
  4. Step 4: Simplify right side
    78,941,696x = 14,761,106,950,127,616
  5. Step 5: Solve for x
    x = 14,761,106,950,127,616/78,941,696
  6. Step 6: Final answer
    x = 186,987,456.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.