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Finding the Third Proportional to 487,124 and 764,350

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Solution

The third proportional to 487,124 and 764,350 is: 1,199,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,124 : 764,350 = 764,350 : x
  2. Step 2: Convert to fraction form
    487,124/764,350 = 764,350/x
  3. Step 3: Cross multiply
    487,124x = 764,350 × 764,350
  4. Step 4: Simplify right side
    487,124x = 584,230,922,500
  5. Step 5: Solve for x
    x = 584,230,922,500/487,124
  6. Step 6: Final answer
    x = 1,199,347.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.