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Finding the Third Proportional to 130,421.81 and 274,851.56

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Solution

The third proportional to 130,421.81 and 274,851.56 is: 579,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,421.81 : 274,851.56 = 274,851.56 : x
  2. Step 2: Convert to fraction form
    130,421.81/274,851.56 = 274,851.56/x
  3. Step 3: Cross multiply
    130,421.81x = 274,851.56 × 274,851.56
  4. Step 4: Simplify right side
    130,421.81x = 75,543,381,408.69
  5. Step 5: Solve for x
    x = 75,543,381,408.69/130,421.81
  6. Step 6: Final answer
    x = 579,223.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.