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Finding the Third Proportional to 154,278 and 238,788

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Solution

The third proportional to 154,278 and 238,788 is: 369,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,278 : 238,788 = 238,788 : x
  2. Step 2: Convert to fraction form
    154,278/238,788 = 238,788/x
  3. Step 3: Cross multiply
    154,278x = 238,788 × 238,788
  4. Step 4: Simplify right side
    154,278x = 57,019,708,944
  5. Step 5: Solve for x
    x = 57,019,708,944/154,278
  6. Step 6: Final answer
    x = 369,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.