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Finding the Third Proportional to 253,218 and 400,968

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Solution

The third proportional to 253,218 and 400,968 is: 634,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,218 : 400,968 = 400,968 : x
  2. Step 2: Convert to fraction form
    253,218/400,968 = 400,968/x
  3. Step 3: Cross multiply
    253,218x = 400,968 × 400,968
  4. Step 4: Simplify right side
    253,218x = 160,775,337,024
  5. Step 5: Solve for x
    x = 160,775,337,024/253,218
  6. Step 6: Final answer
    x = 634,928.55

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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.