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Finding the Third Proportional to 342,132 and 492,828

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Solution

The third proportional to 342,132 and 492,828 is: 709,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,132 : 492,828 = 492,828 : x
  2. Step 2: Convert to fraction form
    342,132/492,828 = 492,828/x
  3. Step 3: Cross multiply
    342,132x = 492,828 × 492,828
  4. Step 4: Simplify right side
    342,132x = 242,879,437,584
  5. Step 5: Solve for x
    x = 242,879,437,584/342,132
  6. Step 6: Final answer
    x = 709,899.80

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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.