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Finding the Third Proportional to 640,482 and 1,379,928

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Solution

The third proportional to 640,482 and 1,379,928 is: 2,973,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,482 : 1,379,928 = 1,379,928 : x
  2. Step 2: Convert to fraction form
    640,482/1,379,928 = 1,379,928/x
  3. Step 3: Cross multiply
    640,482x = 1,379,928 × 1,379,928
  4. Step 4: Simplify right side
    640,482x = 1,904,201,285,184
  5. Step 5: Solve for x
    x = 1,904,201,285,184/640,482
  6. Step 6: Final answer
    x = 2,973,075.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.