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Finding the Third Proportional to 256,044 and 401,670

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Solution

The third proportional to 256,044 and 401,670 is: 630,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,044 : 401,670 = 401,670 : x
  2. Step 2: Convert to fraction form
    256,044/401,670 = 401,670/x
  3. Step 3: Cross multiply
    256,044x = 401,670 × 401,670
  4. Step 4: Simplify right side
    256,044x = 161,338,788,900
  5. Step 5: Solve for x
    x = 161,338,788,900/256,044
  6. Step 6: Final answer
    x = 630,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.