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Finding the Third Proportional to 30,268,154 and 66,422,740

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Solution

The third proportional to 30,268,154 and 66,422,740 is: 145,763,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268,154 : 66,422,740 = 66,422,740 : x
  2. Step 2: Convert to fraction form
    30,268,154/66,422,740 = 66,422,740/x
  3. Step 3: Cross multiply
    30,268,154x = 66,422,740 × 66,422,740
  4. Step 4: Simplify right side
    30,268,154x = 4,411,980,389,107,600
  5. Step 5: Solve for x
    x = 4,411,980,389,107,600/30,268,154
  6. Step 6: Final answer
    x = 145,763,114.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.