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Finding the Third Proportional to 134,223 and 289,462

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Solution

The third proportional to 134,223 and 289,462 is: 624,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,223 : 289,462 = 289,462 : x
  2. Step 2: Convert to fraction form
    134,223/289,462 = 289,462/x
  3. Step 3: Cross multiply
    134,223x = 289,462 × 289,462
  4. Step 4: Simplify right side
    134,223x = 83,788,249,444
  5. Step 5: Solve for x
    x = 83,788,249,444/134,223
  6. Step 6: Final answer
    x = 624,246.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.