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Finding the Third Proportional to 8,464,896 and 18,519,984

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Solution

The third proportional to 8,464,896 and 18,519,984 is: 40,519,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464,896 : 18,519,984 = 18,519,984 : x
  2. Step 2: Convert to fraction form
    8,464,896/18,519,984 = 18,519,984/x
  3. Step 3: Cross multiply
    8,464,896x = 18,519,984 × 18,519,984
  4. Step 4: Simplify right side
    8,464,896x = 342,989,807,360,256
  5. Step 5: Solve for x
    x = 342,989,807,360,256/8,464,896
  6. Step 6: Final answer
    x = 40,519,081.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.