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Finding the Third Proportional to 178,803 and 378,931

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Solution

The third proportional to 178,803 and 378,931 is: 803,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,803 : 378,931 = 378,931 : x
  2. Step 2: Convert to fraction form
    178,803/378,931 = 378,931/x
  3. Step 3: Cross multiply
    178,803x = 378,931 × 378,931
  4. Step 4: Simplify right side
    178,803x = 143,588,702,761
  5. Step 5: Solve for x
    x = 143,588,702,761/178,803
  6. Step 6: Final answer
    x = 803,055.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.