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Finding the Third Proportional to 145,356.75 and 311,727

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Solution

The third proportional to 145,356.75 and 311,727 is: 668,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356.75 : 311,727 = 311,727 : x
  2. Step 2: Convert to fraction form
    145,356.75/311,727 = 311,727/x
  3. Step 3: Cross multiply
    145,356.75x = 311,727 × 311,727
  4. Step 4: Simplify right side
    145,356.75x = 97,173,722,529
  5. Step 5: Solve for x
    x = 97,173,722,529/145,356.75
  6. Step 6: Final answer
    x = 668,518.82

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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.