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Finding the Third Proportional to 262,363 and 405,138

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Solution

The third proportional to 262,363 and 405,138 is: 625,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,363 : 405,138 = 405,138 : x
  2. Step 2: Convert to fraction form
    262,363/405,138 = 405,138/x
  3. Step 3: Cross multiply
    262,363x = 405,138 × 405,138
  4. Step 4: Simplify right side
    262,363x = 164,136,799,044
  5. Step 5: Solve for x
    x = 164,136,799,044/262,363
  6. Step 6: Final answer
    x = 625,609.55

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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.