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Finding the Third Proportional to 405,141.75 and 589,943.25

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Solution

The third proportional to 405,141.75 and 589,943.25 is: 859,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.75 : 589,943.25 = 589,943.25 : x
  2. Step 2: Convert to fraction form
    405,141.75/589,943.25 = 589,943.25/x
  3. Step 3: Cross multiply
    405,141.75x = 589,943.25 × 589,943.25
  4. Step 4: Simplify right side
    405,141.75x = 348,033,038,220.56
  5. Step 5: Solve for x
    x = 348,033,038,220.56/405,141.75
  6. Step 6: Final answer
    x = 859,040.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.