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Finding the Third Proportional to 147,724 and 313,171

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Solution

The third proportional to 147,724 and 313,171 is: 663,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,724 : 313,171 = 313,171 : x
  2. Step 2: Convert to fraction form
    147,724/313,171 = 313,171/x
  3. Step 3: Cross multiply
    147,724x = 313,171 × 313,171
  4. Step 4: Simplify right side
    147,724x = 98,076,075,241
  5. Step 5: Solve for x
    x = 98,076,075,241/147,724
  6. Step 6: Final answer
    x = 663,914.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.