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Finding the Third Proportional to 262,476 and 405,306

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Solution

The third proportional to 262,476 and 405,306 is: 625,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,476 : 405,306 = 405,306 : x
  2. Step 2: Convert to fraction form
    262,476/405,306 = 405,306/x
  3. Step 3: Cross multiply
    262,476x = 405,306 × 405,306
  4. Step 4: Simplify right side
    262,476x = 164,272,953,636
  5. Step 5: Solve for x
    x = 164,272,953,636/262,476
  6. Step 6: Final answer
    x = 625,858.95

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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.