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Finding the Third Proportional to 78,632,662.50 and 117,267,100.88

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Solution

The third proportional to 78,632,662.50 and 117,267,100.88 is: 174,883,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632,662.50 : 117,267,100.88 = 117,267,100.88 : x
  2. Step 2: Convert to fraction form
    78,632,662.50/117,267,100.88 = 117,267,100.88/x
  3. Step 3: Cross multiply
    78,632,662.50x = 117,267,100.88 × 117,267,100.88
  4. Step 4: Simplify right side
    78,632,662.50x = 13,751,572,947,627,426
  5. Step 5: Solve for x
    x = 13,751,572,947,627,426/78,632,662.50
  6. Step 6: Final answer
    x = 174,883,725.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.