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Finding the Third Proportional to 12,507,075 and 18,686,983.50

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Solution

The third proportional to 12,507,075 and 18,686,983.50 is: 27,920,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507,075 : 18,686,983.50 = 18,686,983.50 : x
  2. Step 2: Convert to fraction form
    12,507,075/18,686,983.50 = 18,686,983.50/x
  3. Step 3: Cross multiply
    12,507,075x = 18,686,983.50 × 18,686,983.50
  4. Step 4: Simplify right side
    12,507,075x = 349,203,352,329,272.25
  5. Step 5: Solve for x
    x = 349,203,352,329,272.25/12,507,075
  6. Step 6: Final answer
    x = 27,920,465.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.