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Finding the Third Proportional to 131,289 and 286,342

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Solution

The third proportional to 131,289 and 286,342 is: 624,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,289 : 286,342 = 286,342 : x
  2. Step 2: Convert to fraction form
    131,289/286,342 = 286,342/x
  3. Step 3: Cross multiply
    131,289x = 286,342 × 286,342
  4. Step 4: Simplify right side
    131,289x = 81,991,740,964
  5. Step 5: Solve for x
    x = 81,991,740,964/131,289
  6. Step 6: Final answer
    x = 624,513.41

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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.