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Finding the Third Proportional to 3,168,578 and 6,842,196

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Solution

The third proportional to 3,168,578 and 6,842,196 is: 14,774,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,578 : 6,842,196 = 6,842,196 : x
  2. Step 2: Convert to fraction form
    3,168,578/6,842,196 = 6,842,196/x
  3. Step 3: Cross multiply
    3,168,578x = 6,842,196 × 6,842,196
  4. Step 4: Simplify right side
    3,168,578x = 46,815,646,102,416
  5. Step 5: Solve for x
    x = 46,815,646,102,416/3,168,578
  6. Step 6: Final answer
    x = 14,774,970.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.