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Finding the Third Proportional to 76,752.56 and 118,409.34

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Solution

The third proportional to 76,752.56 and 118,409.34 is: 182,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.56 : 118,409.34 = 118,409.34 : x
  2. Step 2: Convert to fraction form
    76,752.56/118,409.34 = 118,409.34/x
  3. Step 3: Cross multiply
    76,752.56x = 118,409.34 × 118,409.34
  4. Step 4: Simplify right side
    76,752.56x = 14,020,772,687.31
  5. Step 5: Solve for x
    x = 14,020,772,687.31/76,752.56
  6. Step 6: Final answer
    x = 182,674.98

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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.