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Finding the Third Proportional to 164,086 and 253,129

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Solution

The third proportional to 164,086 and 253,129 is: 390,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,086 : 253,129 = 253,129 : x
  2. Step 2: Convert to fraction form
    164,086/253,129 = 253,129/x
  3. Step 3: Cross multiply
    164,086x = 253,129 × 253,129
  4. Step 4: Simplify right side
    164,086x = 64,074,290,641
  5. Step 5: Solve for x
    x = 64,074,290,641/164,086
  6. Step 6: Final answer
    x = 390,492.12

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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.