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Finding the Third Proportional to 141,971 and 303,640

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Solution

The third proportional to 141,971 and 303,640 is: 649,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,971 : 303,640 = 303,640 : x
  2. Step 2: Convert to fraction form
    141,971/303,640 = 303,640/x
  3. Step 3: Cross multiply
    141,971x = 303,640 × 303,640
  4. Step 4: Simplify right side
    141,971x = 92,197,249,600
  5. Step 5: Solve for x
    x = 92,197,249,600/141,971
  6. Step 6: Final answer
    x = 649,409.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.