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Finding the Third Proportional to 4,290,819 and 6,476,130.69

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Solution

The third proportional to 4,290,819 and 6,476,130.69 is: 9,774,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290,819 : 6,476,130.69 = 6,476,130.69 : x
  2. Step 2: Convert to fraction form
    4,290,819/6,476,130.69 = 6,476,130.69/x
  3. Step 3: Cross multiply
    4,290,819x = 6,476,130.69 × 6,476,130.69
  4. Step 4: Simplify right side
    4,290,819x = 41,940,268,681,579.22
  5. Step 5: Solve for x
    x = 41,940,268,681,579.22/4,290,819
  6. Step 6: Final answer
    x = 9,774,420.38

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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.