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Finding the Third Proportional to 253,212 and 400,960

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Solution

The third proportional to 253,212 and 400,960 is: 634,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,212 : 400,960 = 400,960 : x
  2. Step 2: Convert to fraction form
    253,212/400,960 = 400,960/x
  3. Step 3: Cross multiply
    253,212x = 400,960 × 400,960
  4. Step 4: Simplify right side
    253,212x = 160,768,921,600
  5. Step 5: Solve for x
    x = 160,768,921,600/253,212
  6. Step 6: Final answer
    x = 634,918.26

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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.