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Finding the Third Proportional to 77,288.63 and 122,946.75

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Solution

The third proportional to 77,288.63 and 122,946.75 is: 195,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,288.63 : 122,946.75 = 122,946.75 : x
  2. Step 2: Convert to fraction form
    77,288.63/122,946.75 = 122,946.75/x
  3. Step 3: Cross multiply
    77,288.63x = 122,946.75 × 122,946.75
  4. Step 4: Simplify right side
    77,288.63x = 15,115,903,335.56
  5. Step 5: Solve for x
    x = 15,115,903,335.56/77,288.63
  6. Step 6: Final answer
    x = 195,577.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.