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Finding the Third Proportional to 7,836,188 and 12,108,897

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Solution

The third proportional to 7,836,188 and 12,108,897 is: 18,711,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,188 : 12,108,897 = 12,108,897 : x
  2. Step 2: Convert to fraction form
    7,836,188/12,108,897 = 12,108,897/x
  3. Step 3: Cross multiply
    7,836,188x = 12,108,897 × 12,108,897
  4. Step 4: Simplify right side
    7,836,188x = 146,625,386,556,609
  5. Step 5: Solve for x
    x = 146,625,386,556,609/7,836,188
  6. Step 6: Final answer
    x = 18,711,315.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.