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Finding the Third Proportional to 13,830,420 and 20,297,222

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Solution

The third proportional to 13,830,420 and 20,297,222 is: 29,787,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,420 : 20,297,222 = 20,297,222 : x
  2. Step 2: Convert to fraction form
    13,830,420/20,297,222 = 20,297,222/x
  3. Step 3: Cross multiply
    13,830,420x = 20,297,222 × 20,297,222
  4. Step 4: Simplify right side
    13,830,420x = 411,977,220,917,284
  5. Step 5: Solve for x
    x = 411,977,220,917,284/13,830,420
  6. Step 6: Final answer
    x = 29,787,759.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.