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Finding the Third Proportional to 243,849 and 376,816.50

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Solution

The third proportional to 243,849 and 376,816.50 is: 582,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,849 : 376,816.50 = 376,816.50 : x
  2. Step 2: Convert to fraction form
    243,849/376,816.50 = 376,816.50/x
  3. Step 3: Cross multiply
    243,849x = 376,816.50 × 376,816.50
  4. Step 4: Simplify right side
    243,849x = 141,990,674,672.25
  5. Step 5: Solve for x
    x = 141,990,674,672.25/243,849
  6. Step 6: Final answer
    x = 582,289.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.