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Finding the Third Proportional to 262,860 and 411,804

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Solution

The third proportional to 262,860 and 411,804 is: 645,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,860 : 411,804 = 411,804 : x
  2. Step 2: Convert to fraction form
    262,860/411,804 = 411,804/x
  3. Step 3: Cross multiply
    262,860x = 411,804 × 411,804
  4. Step 4: Simplify right side
    262,860x = 169,582,534,416
  5. Step 5: Solve for x
    x = 169,582,534,416/262,860
  6. Step 6: Final answer
    x = 645,143.93

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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.