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Finding the Third Proportional to 262,360.50 and 405,135

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Solution

The third proportional to 262,360.50 and 405,135 is: 625,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,360.50 : 405,135 = 405,135 : x
  2. Step 2: Convert to fraction form
    262,360.50/405,135 = 405,135/x
  3. Step 3: Cross multiply
    262,360.50x = 405,135 × 405,135
  4. Step 4: Simplify right side
    262,360.50x = 164,134,368,225
  5. Step 5: Solve for x
    x = 164,134,368,225/262,360.50
  6. Step 6: Final answer
    x = 625,606.25

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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.