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Finding the Third Proportional to 136,695 and 282,378

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Solution

The third proportional to 136,695 and 282,378 is: 583,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,695 : 282,378 = 282,378 : x
  2. Step 2: Convert to fraction form
    136,695/282,378 = 282,378/x
  3. Step 3: Cross multiply
    136,695x = 282,378 × 282,378
  4. Step 4: Simplify right side
    136,695x = 79,737,334,884
  5. Step 5: Solve for x
    x = 79,737,334,884/136,695
  6. Step 6: Final answer
    x = 583,322.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.