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Finding the Third Proportional to 262,797 and 405,862.50

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Solution

The third proportional to 262,797 and 405,862.50 is: 626,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,797 : 405,862.50 = 405,862.50 : x
  2. Step 2: Convert to fraction form
    262,797/405,862.50 = 405,862.50/x
  3. Step 3: Cross multiply
    262,797x = 405,862.50 × 405,862.50
  4. Step 4: Simplify right side
    262,797x = 164,724,368,906.25
  5. Step 5: Solve for x
    x = 164,724,368,906.25/262,797
  6. Step 6: Final answer
    x = 626,812.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.