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Finding the Third Proportional to 130,306 and 283,928

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Solution

The third proportional to 130,306 and 283,928 is: 618,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,306 : 283,928 = 283,928 : x
  2. Step 2: Convert to fraction form
    130,306/283,928 = 283,928/x
  3. Step 3: Cross multiply
    130,306x = 283,928 × 283,928
  4. Step 4: Simplify right side
    130,306x = 80,615,109,184
  5. Step 5: Solve for x
    x = 80,615,109,184/130,306
  6. Step 6: Final answer
    x = 618,659.99

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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.