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Finding the Third Proportional to 163,911 and 253,144

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Solution

The third proportional to 163,911 and 253,144 is: 390,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,911 : 253,144 = 253,144 : x
  2. Step 2: Convert to fraction form
    163,911/253,144 = 253,144/x
  3. Step 3: Cross multiply
    163,911x = 253,144 × 253,144
  4. Step 4: Simplify right side
    163,911x = 64,081,884,736
  5. Step 5: Solve for x
    x = 64,081,884,736/163,911
  6. Step 6: Final answer
    x = 390,955.36

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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.