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Finding the Third Proportional to 253,210 and 400,957

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Solution

The third proportional to 253,210 and 400,957 is: 634,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,210 : 400,957 = 400,957 : x
  2. Step 2: Convert to fraction form
    253,210/400,957 = 400,957/x
  3. Step 3: Cross multiply
    253,210x = 400,957 × 400,957
  4. Step 4: Simplify right side
    253,210x = 160,766,515,849
  5. Step 5: Solve for x
    x = 160,766,515,849/253,210
  6. Step 6: Final answer
    x = 634,913.77

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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.