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Finding the Third Proportional to 3,986,346 and 6,184,368

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Solution

The third proportional to 3,986,346 and 6,184,368 is: 9,594,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,346 : 6,184,368 = 6,184,368 : x
  2. Step 2: Convert to fraction form
    3,986,346/6,184,368 = 6,184,368/x
  3. Step 3: Cross multiply
    3,986,346x = 6,184,368 × 6,184,368
  4. Step 4: Simplify right side
    3,986,346x = 38,246,407,559,424
  5. Step 5: Solve for x
    x = 38,246,407,559,424/3,986,346
  6. Step 6: Final answer
    x = 9,594,352.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.