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Finding the Third Proportional to 147,683 and 320,071

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Solution

The third proportional to 147,683 and 320,071 is: 693,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,683 : 320,071 = 320,071 : x
  2. Step 2: Convert to fraction form
    147,683/320,071 = 320,071/x
  3. Step 3: Cross multiply
    147,683x = 320,071 × 320,071
  4. Step 4: Simplify right side
    147,683x = 102,445,445,041
  5. Step 5: Solve for x
    x = 102,445,445,041/147,683
  6. Step 6: Final answer
    x = 693,684.75

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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.