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Finding the Third Proportional to 163,914 and 253,148

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Solution

The third proportional to 163,914 and 253,148 is: 390,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,914 : 253,148 = 253,148 : x
  2. Step 2: Convert to fraction form
    163,914/253,148 = 253,148/x
  3. Step 3: Cross multiply
    163,914x = 253,148 × 253,148
  4. Step 4: Simplify right side
    163,914x = 64,083,909,904
  5. Step 5: Solve for x
    x = 64,083,909,904/163,914
  6. Step 6: Final answer
    x = 390,960.56

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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.