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Finding the Third Proportional to 143,019 and 310,641

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Solution

The third proportional to 143,019 and 310,641 is: 674,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,019 : 310,641 = 310,641 : x
  2. Step 2: Convert to fraction form
    143,019/310,641 = 310,641/x
  3. Step 3: Cross multiply
    143,019x = 310,641 × 310,641
  4. Step 4: Simplify right side
    143,019x = 96,497,830,881
  5. Step 5: Solve for x
    x = 96,497,830,881/143,019
  6. Step 6: Final answer
    x = 674,720.36

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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.