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Finding the Third Proportional to 78,663.66 and 122,707.41

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Solution

The third proportional to 78,663.66 and 122,707.41 is: 191,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,663.66 : 122,707.41 = 122,707.41 : x
  2. Step 2: Convert to fraction form
    78,663.66/122,707.41 = 122,707.41/x
  3. Step 3: Cross multiply
    78,663.66x = 122,707.41 × 122,707.41
  4. Step 4: Simplify right side
    78,663.66x = 15,057,107,548.60
  5. Step 5: Solve for x
    x = 15,057,107,548.60/78,663.66
  6. Step 6: Final answer
    x = 191,411.23

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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.