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Finding the Third Proportional to 262,368 and 405,180

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Solution

The third proportional to 262,368 and 405,180 is: 625,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,368 : 405,180 = 405,180 : x
  2. Step 2: Convert to fraction form
    262,368/405,180 = 405,180/x
  3. Step 3: Cross multiply
    262,368x = 405,180 × 405,180
  4. Step 4: Simplify right side
    262,368x = 164,170,832,400
  5. Step 5: Solve for x
    x = 164,170,832,400/262,368
  6. Step 6: Final answer
    x = 625,727.35

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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.