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Finding the Third Proportional to 130,330.50 and 283,989

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Solution

The third proportional to 130,330.50 and 283,989 is: 618,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,330.50 : 283,989 = 283,989 : x
  2. Step 2: Convert to fraction form
    130,330.50/283,989 = 283,989/x
  3. Step 3: Cross multiply
    130,330.50x = 283,989 × 283,989
  4. Step 4: Simplify right side
    130,330.50x = 80,649,752,121
  5. Step 5: Solve for x
    x = 80,649,752,121/130,330.50
  6. Step 6: Final answer
    x = 618,809.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.