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Finding the Third Proportional to 66,483 and 147,729

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Solution

The third proportional to 66,483 and 147,729 is: 328,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,483 : 147,729 = 147,729 : x
  2. Step 2: Convert to fraction form
    66,483/147,729 = 147,729/x
  3. Step 3: Cross multiply
    66,483x = 147,729 × 147,729
  4. Step 4: Simplify right side
    66,483x = 21,823,857,441
  5. Step 5: Solve for x
    x = 21,823,857,441/66,483
  6. Step 6: Final answer
    x = 328,262.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.