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Finding the Third Proportional to 76,959,130.50 and 119,265,462.56

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Solution

The third proportional to 76,959,130.50 and 119,265,462.56 is: 184,828,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,959,130.50 : 119,265,462.56 = 119,265,462.56 : x
  2. Step 2: Convert to fraction form
    76,959,130.50/119,265,462.56 = 119,265,462.56/x
  3. Step 3: Cross multiply
    76,959,130.50x = 119,265,462.56 × 119,265,462.56
  4. Step 4: Simplify right side
    76,959,130.50x = 14,224,250,560,247,090
  5. Step 5: Solve for x
    x = 14,224,250,560,247,090/76,959,130.50
  6. Step 6: Final answer
    x = 184,828,628.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.