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Finding the Third Proportional to 7,701,921 and 16,688,151

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Solution

The third proportional to 7,701,921 and 16,688,151 is: 36,159,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701,921 : 16,688,151 = 16,688,151 : x
  2. Step 2: Convert to fraction form
    7,701,921/16,688,151 = 16,688,151/x
  3. Step 3: Cross multiply
    7,701,921x = 16,688,151 × 16,688,151
  4. Step 4: Simplify right side
    7,701,921x = 278,494,383,798,801
  5. Step 5: Solve for x
    x = 278,494,383,798,801/7,701,921
  6. Step 6: Final answer
    x = 36,159,080.81

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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.