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Finding the Third Proportional to 31,362 and 51,483

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Solution

The third proportional to 31,362 and 51,483 is: 84,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362 : 51,483 = 51,483 : x
  2. Step 2: Convert to fraction form
    31,362/51,483 = 51,483/x
  3. Step 3: Cross multiply
    31,362x = 51,483 × 51,483
  4. Step 4: Simplify right side
    31,362x = 2,650,499,289
  5. Step 5: Solve for x
    x = 2,650,499,289/31,362
  6. Step 6: Final answer
    x = 84,513.08

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.