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Finding the Third Proportional to 164,388 and 256,842

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Solution

The third proportional to 164,388 and 256,842 is: 401,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,388 : 256,842 = 256,842 : x
  2. Step 2: Convert to fraction form
    164,388/256,842 = 256,842/x
  3. Step 3: Cross multiply
    164,388x = 256,842 × 256,842
  4. Step 4: Simplify right side
    164,388x = 65,967,812,964
  5. Step 5: Solve for x
    x = 65,967,812,964/164,388
  6. Step 6: Final answer
    x = 401,293.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.