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Finding the Third Proportional to 253,213 and 400,961

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Solution

The third proportional to 253,213 and 400,961 is: 634,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,213 : 400,961 = 400,961 : x
  2. Step 2: Convert to fraction form
    253,213/400,961 = 400,961/x
  3. Step 3: Cross multiply
    253,213x = 400,961 × 400,961
  4. Step 4: Simplify right side
    253,213x = 160,769,723,521
  5. Step 5: Solve for x
    x = 160,769,723,521/253,213
  6. Step 6: Final answer
    x = 634,918.92

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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.