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Finding the Third Proportional to 163,912 and 253,145

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Solution

The third proportional to 163,912 and 253,145 is: 390,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,912 : 253,145 = 253,145 : x
  2. Step 2: Convert to fraction form
    163,912/253,145 = 253,145/x
  3. Step 3: Cross multiply
    163,912x = 253,145 × 253,145
  4. Step 4: Simplify right side
    163,912x = 64,082,391,025
  5. Step 5: Solve for x
    x = 64,082,391,025/163,912
  6. Step 6: Final answer
    x = 390,956.07

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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.