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Finding the Third Proportional to 399,075 and 586,941.75

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Solution

The third proportional to 399,075 and 586,941.75 is: 863,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,075 : 586,941.75 = 586,941.75 : x
  2. Step 2: Convert to fraction form
    399,075/586,941.75 = 586,941.75/x
  3. Step 3: Cross multiply
    399,075x = 586,941.75 × 586,941.75
  4. Step 4: Simplify right side
    399,075x = 344,500,617,893.06
  5. Step 5: Solve for x
    x = 344,500,617,893.06/399,075
  6. Step 6: Final answer
    x = 863,247.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.