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Finding the Third Proportional to 315,025 and 492,794

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Solution

The third proportional to 315,025 and 492,794 is: 770,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,025 : 492,794 = 492,794 : x
  2. Step 2: Convert to fraction form
    315,025/492,794 = 492,794/x
  3. Step 3: Cross multiply
    315,025x = 492,794 × 492,794
  4. Step 4: Simplify right side
    315,025x = 242,845,926,436
  5. Step 5: Solve for x
    x = 242,845,926,436/315,025
  6. Step 6: Final answer
    x = 770,878.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.