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Finding the Third Proportional to 8,535,172 and 18,535,656

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Solution

The third proportional to 8,535,172 and 18,535,656 is: 40,253,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535,172 : 18,535,656 = 18,535,656 : x
  2. Step 2: Convert to fraction form
    8,535,172/18,535,656 = 18,535,656/x
  3. Step 3: Cross multiply
    8,535,172x = 18,535,656 × 18,535,656
  4. Step 4: Simplify right side
    8,535,172x = 343,570,543,350,336
  5. Step 5: Solve for x
    x = 343,570,543,350,336/8,535,172
  6. Step 6: Final answer
    x = 40,253,499.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.