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Finding the Third Proportional to 342,128 and 492,823

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Solution

The third proportional to 342,128 and 492,823 is: 709,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,128 : 492,823 = 492,823 : x
  2. Step 2: Convert to fraction form
    342,128/492,823 = 492,823/x
  3. Step 3: Cross multiply
    342,128x = 492,823 × 492,823
  4. Step 4: Simplify right side
    342,128x = 242,874,509,329
  5. Step 5: Solve for x
    x = 242,874,509,329/342,128
  6. Step 6: Final answer
    x = 709,893.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.