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Finding the Third Proportional to 163,913 and 253,147

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Solution

The third proportional to 163,913 and 253,147 is: 390,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,913 : 253,147 = 253,147 : x
  2. Step 2: Convert to fraction form
    163,913/253,147 = 253,147/x
  3. Step 3: Cross multiply
    163,913x = 253,147 × 253,147
  4. Step 4: Simplify right side
    163,913x = 64,083,403,609
  5. Step 5: Solve for x
    x = 64,083,403,609/163,913
  6. Step 6: Final answer
    x = 390,959.86

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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.