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Finding the Third Proportional to 262,370 and 405,148

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Solution

The third proportional to 262,370 and 405,148 is: 625,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,370 : 405,148 = 405,148 : x
  2. Step 2: Convert to fraction form
    262,370/405,148 = 405,148/x
  3. Step 3: Cross multiply
    262,370x = 405,148 × 405,148
  4. Step 4: Simplify right side
    262,370x = 164,144,901,904
  5. Step 5: Solve for x
    x = 164,144,901,904/262,370
  6. Step 6: Final answer
    x = 625,623.74

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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.