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Finding the Third Proportional to 385,790 and 589,803

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Solution

The third proportional to 385,790 and 589,803 is: 901,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,790 : 589,803 = 589,803 : x
  2. Step 2: Convert to fraction form
    385,790/589,803 = 589,803/x
  3. Step 3: Cross multiply
    385,790x = 589,803 × 589,803
  4. Step 4: Simplify right side
    385,790x = 347,867,578,809
  5. Step 5: Solve for x
    x = 347,867,578,809/385,790
  6. Step 6: Final answer
    x = 901,701.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.