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Finding the Third Proportional to 4,009,674 and 8,645,316

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Solution

The third proportional to 4,009,674 and 8,645,316 is: 18,640,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009,674 : 8,645,316 = 8,645,316 : x
  2. Step 2: Convert to fraction form
    4,009,674/8,645,316 = 8,645,316/x
  3. Step 3: Cross multiply
    4,009,674x = 8,645,316 × 8,645,316
  4. Step 4: Simplify right side
    4,009,674x = 74,741,488,739,856
  5. Step 5: Solve for x
    x = 74,741,488,739,856/4,009,674
  6. Step 6: Final answer
    x = 18,640,290.64

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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.