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Finding the Third Proportional to 6,720,820 and 10,205,890

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Solution

The third proportional to 6,720,820 and 10,205,890 is: 15,498,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720,820 : 10,205,890 = 10,205,890 : x
  2. Step 2: Convert to fraction form
    6,720,820/10,205,890 = 10,205,890/x
  3. Step 3: Cross multiply
    6,720,820x = 10,205,890 × 10,205,890
  4. Step 4: Simplify right side
    6,720,820x = 104,160,190,692,100
  5. Step 5: Solve for x
    x = 104,160,190,692,100/6,720,820
  6. Step 6: Final answer
    x = 15,498,137.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.