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Finding the Third Proportional to 130,732 and 286,384

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Solution

The third proportional to 130,732 and 286,384 is: 627,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,732 : 286,384 = 286,384 : x
  2. Step 2: Convert to fraction form
    130,732/286,384 = 286,384/x
  3. Step 3: Cross multiply
    130,732x = 286,384 × 286,384
  4. Step 4: Simplify right side
    130,732x = 82,015,795,456
  5. Step 5: Solve for x
    x = 82,015,795,456/130,732
  6. Step 6: Final answer
    x = 627,358.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.