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Finding the Third Proportional to 7,382,421 and 11,557,485

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Solution

The third proportional to 7,382,421 and 11,557,485 is: 18,093,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,421 : 11,557,485 = 11,557,485 : x
  2. Step 2: Convert to fraction form
    7,382,421/11,557,485 = 11,557,485/x
  3. Step 3: Cross multiply
    7,382,421x = 11,557,485 × 11,557,485
  4. Step 4: Simplify right side
    7,382,421x = 133,575,459,525,225
  5. Step 5: Solve for x
    x = 133,575,459,525,225/7,382,421
  6. Step 6: Final answer
    x = 18,093,720.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.