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Finding the Third Proportional to 77,135.50 and 116,525.50

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Solution

The third proportional to 77,135.50 and 116,525.50 is: 176,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,135.50 : 116,525.50 = 116,525.50 : x
  2. Step 2: Convert to fraction form
    77,135.50/116,525.50 = 116,525.50/x
  3. Step 3: Cross multiply
    77,135.50x = 116,525.50 × 116,525.50
  4. Step 4: Simplify right side
    77,135.50x = 13,578,192,150.25
  5. Step 5: Solve for x
    x = 13,578,192,150.25/77,135.50
  6. Step 6: Final answer
    x = 176,030.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.