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Finding the Third Proportional to 160,476.75 and 224,376.75

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Solution

The third proportional to 160,476.75 and 224,376.75 is: 313,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,476.75 : 224,376.75 = 224,376.75 : x
  2. Step 2: Convert to fraction form
    160,476.75/224,376.75 = 224,376.75/x
  3. Step 3: Cross multiply
    160,476.75x = 224,376.75 × 224,376.75
  4. Step 4: Simplify right side
    160,476.75x = 50,344,925,940.56
  5. Step 5: Solve for x
    x = 50,344,925,940.56/160,476.75
  6. Step 6: Final answer
    x = 313,721.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.