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Finding the Third Proportional to 285,561.56 and 379,056.56

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Solution

The third proportional to 285,561.56 and 379,056.56 is: 503,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,561.56 : 379,056.56 = 379,056.56 : x
  2. Step 2: Convert to fraction form
    285,561.56/379,056.56 = 379,056.56/x
  3. Step 3: Cross multiply
    285,561.56x = 379,056.56 × 379,056.56
  4. Step 4: Simplify right side
    285,561.56x = 143,683,877,574.32
  5. Step 5: Solve for x
    x = 143,683,877,574.32/285,561.56
  6. Step 6: Final answer
    x = 503,162.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.