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Finding the Third Proportional to 7,720,870 and 16,638,400

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Solution

The third proportional to 7,720,870 and 16,638,400 is: 35,855,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720,870 : 16,638,400 = 16,638,400 : x
  2. Step 2: Convert to fraction form
    7,720,870/16,638,400 = 16,638,400/x
  3. Step 3: Cross multiply
    7,720,870x = 16,638,400 × 16,638,400
  4. Step 4: Simplify right side
    7,720,870x = 276,836,354,560,000
  5. Step 5: Solve for x
    x = 276,836,354,560,000/7,720,870
  6. Step 6: Final answer
    x = 35,855,590.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.