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Finding the Third Proportional to 9,478,830 and 20,417,739

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Solution

The third proportional to 9,478,830 and 20,417,739 is: 43,980,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478,830 : 20,417,739 = 20,417,739 : x
  2. Step 2: Convert to fraction form
    9,478,830/20,417,739 = 20,417,739/x
  3. Step 3: Cross multiply
    9,478,830x = 20,417,739 × 20,417,739
  4. Step 4: Simplify right side
    9,478,830x = 416,884,065,872,121
  5. Step 5: Solve for x
    x = 416,884,065,872,121/9,478,830
  6. Step 6: Final answer
    x = 43,980,540.41

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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.