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Finding the Third Proportional to 178,258 and 387,254

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Solution

The third proportional to 178,258 and 387,254 is: 841,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258 : 387,254 = 387,254 : x
  2. Step 2: Convert to fraction form
    178,258/387,254 = 387,254/x
  3. Step 3: Cross multiply
    178,258x = 387,254 × 387,254
  4. Step 4: Simplify right side
    178,258x = 149,965,660,516
  5. Step 5: Solve for x
    x = 149,965,660,516/178,258
  6. Step 6: Final answer
    x = 841,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.