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Finding the Third Proportional to 163,922 and 253,160

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Solution

The third proportional to 163,922 and 253,160 is: 390,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,922 : 253,160 = 253,160 : x
  2. Step 2: Convert to fraction form
    163,922/253,160 = 253,160/x
  3. Step 3: Cross multiply
    163,922x = 253,160 × 253,160
  4. Step 4: Simplify right side
    163,922x = 64,089,985,600
  5. Step 5: Solve for x
    x = 64,089,985,600/163,922
  6. Step 6: Final answer
    x = 390,978.55

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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.