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Finding the Third Proportional to 147,040 and 318,968

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Solution

The third proportional to 147,040 and 318,968 is: 691,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,040 : 318,968 = 318,968 : x
  2. Step 2: Convert to fraction form
    147,040/318,968 = 318,968/x
  3. Step 3: Cross multiply
    147,040x = 318,968 × 318,968
  4. Step 4: Simplify right side
    147,040x = 101,740,585,024
  5. Step 5: Solve for x
    x = 101,740,585,024/147,040
  6. Step 6: Final answer
    x = 691,924.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.