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Finding the Third Proportional to 9,209,101 and 20,051,989

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Solution

The third proportional to 9,209,101 and 20,051,989 is: 43,661,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209,101 : 20,051,989 = 20,051,989 : x
  2. Step 2: Convert to fraction form
    9,209,101/20,051,989 = 20,051,989/x
  3. Step 3: Cross multiply
    9,209,101x = 20,051,989 × 20,051,989
  4. Step 4: Simplify right side
    9,209,101x = 402,082,262,856,121
  5. Step 5: Solve for x
    x = 402,082,262,856,121/9,209,101
  6. Step 6: Final answer
    x = 43,661,402.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.