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Finding the Third Proportional to 357,075 and 779,679

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Solution

The third proportional to 357,075 and 779,679 is: 1,702,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,075 : 779,679 = 779,679 : x
  2. Step 2: Convert to fraction form
    357,075/779,679 = 779,679/x
  3. Step 3: Cross multiply
    357,075x = 779,679 × 779,679
  4. Step 4: Simplify right side
    357,075x = 607,899,343,041
  5. Step 5: Solve for x
    x = 607,899,343,041/357,075
  6. Step 6: Final answer
    x = 1,702,441.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.