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Finding the Third Proportional to 144,742 and 314,241

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Solution

The third proportional to 144,742 and 314,241 is: 682,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,742 : 314,241 = 314,241 : x
  2. Step 2: Convert to fraction form
    144,742/314,241 = 314,241/x
  3. Step 3: Cross multiply
    144,742x = 314,241 × 314,241
  4. Step 4: Simplify right side
    144,742x = 98,747,406,081
  5. Step 5: Solve for x
    x = 98,747,406,081/144,742
  6. Step 6: Final answer
    x = 682,230.49

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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.