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Finding the Third Proportional to 9,707,078 and 21,121,420

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Solution

The third proportional to 9,707,078 and 21,121,420 is: 45,957,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707,078 : 21,121,420 = 21,121,420 : x
  2. Step 2: Convert to fraction form
    9,707,078/21,121,420 = 21,121,420/x
  3. Step 3: Cross multiply
    9,707,078x = 21,121,420 × 21,121,420
  4. Step 4: Simplify right side
    9,707,078x = 446,114,382,816,400
  5. Step 5: Solve for x
    x = 446,114,382,816,400/9,707,078
  6. Step 6: Final answer
    x = 45,957,638.62

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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.