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Finding the Third Proportional to 130,085 and 283,743

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Solution

The third proportional to 130,085 and 283,743 is: 618,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,085 : 283,743 = 283,743 : x
  2. Step 2: Convert to fraction form
    130,085/283,743 = 283,743/x
  3. Step 3: Cross multiply
    130,085x = 283,743 × 283,743
  4. Step 4: Simplify right side
    130,085x = 80,510,090,049
  5. Step 5: Solve for x
    x = 80,510,090,049/130,085
  6. Step 6: Final answer
    x = 618,903.72

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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.