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Finding the Third Proportional to 262,610 and 405,560

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Solution

The third proportional to 262,610 and 405,560 is: 626,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,610 : 405,560 = 405,560 : x
  2. Step 2: Convert to fraction form
    262,610/405,560 = 405,560/x
  3. Step 3: Cross multiply
    262,610x = 405,560 × 405,560
  4. Step 4: Simplify right side
    262,610x = 164,478,913,600
  5. Step 5: Solve for x
    x = 164,478,913,600/262,610
  6. Step 6: Final answer
    x = 626,323.88

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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.