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Finding the Third Proportional to 9,821,890 and 21,427,884

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Solution

The third proportional to 9,821,890 and 21,427,884 is: 46,748,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821,890 : 21,427,884 = 21,427,884 : x
  2. Step 2: Convert to fraction form
    9,821,890/21,427,884 = 21,427,884/x
  3. Step 3: Cross multiply
    9,821,890x = 21,427,884 × 21,427,884
  4. Step 4: Simplify right side
    9,821,890x = 459,154,212,717,456
  5. Step 5: Solve for x
    x = 459,154,212,717,456/9,821,890
  6. Step 6: Final answer
    x = 46,748,050.80

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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.