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Finding the Third Proportional to 13,830,420 and 20,297,220

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Solution

The third proportional to 13,830,420 and 20,297,220 is: 29,787,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,420 : 20,297,220 = 20,297,220 : x
  2. Step 2: Convert to fraction form
    13,830,420/20,297,220 = 20,297,220/x
  3. Step 3: Cross multiply
    13,830,420x = 20,297,220 × 20,297,220
  4. Step 4: Simplify right side
    13,830,420x = 411,977,139,728,400
  5. Step 5: Solve for x
    x = 411,977,139,728,400/13,830,420
  6. Step 6: Final answer
    x = 29,787,753.35

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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.