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Finding the Third Proportional to 384,075 and 581,418

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Solution

The third proportional to 384,075 and 581,418 is: 880,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,075 : 581,418 = 581,418 : x
  2. Step 2: Convert to fraction form
    384,075/581,418 = 581,418/x
  3. Step 3: Cross multiply
    384,075x = 581,418 × 581,418
  4. Step 4: Simplify right side
    384,075x = 338,046,890,724
  5. Step 5: Solve for x
    x = 338,046,890,724/384,075
  6. Step 6: Final answer
    x = 880,158.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.