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Finding the Third Proportional to 262,820 and 411,813

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Solution

The third proportional to 262,820 and 411,813 is: 645,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,820 : 411,813 = 411,813 : x
  2. Step 2: Convert to fraction form
    262,820/411,813 = 411,813/x
  3. Step 3: Cross multiply
    262,820x = 411,813 × 411,813
  4. Step 4: Simplify right side
    262,820x = 169,589,946,969
  5. Step 5: Solve for x
    x = 169,589,946,969/262,820
  6. Step 6: Final answer
    x = 645,270.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.