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Finding the Third Proportional to 276,829.31 and 427,492.69

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Solution

The third proportional to 276,829.31 and 427,492.69 is: 660,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,829.31 : 427,492.69 = 427,492.69 : x
  2. Step 2: Convert to fraction form
    276,829.31/427,492.69 = 427,492.69/x
  3. Step 3: Cross multiply
    276,829.31x = 427,492.69 × 427,492.69
  4. Step 4: Simplify right side
    276,829.31x = 182,749,997,865.97
  5. Step 5: Solve for x
    x = 182,749,997,865.97/276,829.31
  6. Step 6: Final answer
    x = 660,154.07

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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.