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Finding the Third Proportional to 8,678,409 and 18,662,844

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Solution

The third proportional to 8,678,409 and 18,662,844 is: 40,134,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678,409 : 18,662,844 = 18,662,844 : x
  2. Step 2: Convert to fraction form
    8,678,409/18,662,844 = 18,662,844/x
  3. Step 3: Cross multiply
    8,678,409x = 18,662,844 × 18,662,844
  4. Step 4: Simplify right side
    8,678,409x = 348,301,746,168,336
  5. Step 5: Solve for x
    x = 348,301,746,168,336/8,678,409
  6. Step 6: Final answer
    x = 40,134,285.69

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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.