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Finding the Third Proportional to 3,940,457 and 8,509,618

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Solution

The third proportional to 3,940,457 and 8,509,618 is: 18,376,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,457 : 8,509,618 = 8,509,618 : x
  2. Step 2: Convert to fraction form
    3,940,457/8,509,618 = 8,509,618/x
  3. Step 3: Cross multiply
    3,940,457x = 8,509,618 × 8,509,618
  4. Step 4: Simplify right side
    3,940,457x = 72,413,598,505,924
  5. Step 5: Solve for x
    x = 72,413,598,505,924/3,940,457
  6. Step 6: Final answer
    x = 18,376,954.38

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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.