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Finding the Third Proportional to 8,540,684 and 18,657,304

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Solution

The third proportional to 8,540,684 and 18,657,304 is: 40,757,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540,684 : 18,657,304 = 18,657,304 : x
  2. Step 2: Convert to fraction form
    8,540,684/18,657,304 = 18,657,304/x
  3. Step 3: Cross multiply
    8,540,684x = 18,657,304 × 18,657,304
  4. Step 4: Simplify right side
    8,540,684x = 348,094,992,548,416
  5. Step 5: Solve for x
    x = 348,094,992,548,416/8,540,684
  6. Step 6: Final answer
    x = 40,757,273.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.