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Finding the Third Proportional to 946,268.50 and 2,075,737.50

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Solution

The third proportional to 946,268.50 and 2,075,737.50 is: 4,553,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,268.50 : 2,075,737.50 = 2,075,737.50 : x
  2. Step 2: Convert to fraction form
    946,268.50/2,075,737.50 = 2,075,737.50/x
  3. Step 3: Cross multiply
    946,268.50x = 2,075,737.50 × 2,075,737.50
  4. Step 4: Simplify right side
    946,268.50x = 4,308,686,168,906.25
  5. Step 5: Solve for x
    x = 4,308,686,168,906.25/946,268.50
  6. Step 6: Final answer
    x = 4,553,344.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.