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Finding the Third Proportional to 130,776 and 283,218

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Solution

The third proportional to 130,776 and 283,218 is: 613,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,776 : 283,218 = 283,218 : x
  2. Step 2: Convert to fraction form
    130,776/283,218 = 283,218/x
  3. Step 3: Cross multiply
    130,776x = 283,218 × 283,218
  4. Step 4: Simplify right side
    130,776x = 80,212,435,524
  5. Step 5: Solve for x
    x = 80,212,435,524/130,776
  6. Step 6: Final answer
    x = 613,357.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.