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Finding the Third Proportional to 248,258 and 393,291

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Solution

The third proportional to 248,258 and 393,291 is: 623,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,258 : 393,291 = 393,291 : x
  2. Step 2: Convert to fraction form
    248,258/393,291 = 393,291/x
  3. Step 3: Cross multiply
    248,258x = 393,291 × 393,291
  4. Step 4: Simplify right side
    248,258x = 154,677,810,681
  5. Step 5: Solve for x
    x = 154,677,810,681/248,258
  6. Step 6: Final answer
    x = 623,052.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.