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Finding the Third Proportional to 30,681,428.06 and 68,173,310.81

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Solution

The third proportional to 30,681,428.06 and 68,173,310.81 is: 151,479,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,428.06 : 68,173,310.81 = 68,173,310.81 : x
  2. Step 2: Convert to fraction form
    30,681,428.06/68,173,310.81 = 68,173,310.81/x
  3. Step 3: Cross multiply
    30,681,428.06x = 68,173,310.81 × 68,173,310.81
  4. Step 4: Simplify right side
    30,681,428.06x = 4,647,600,307,137,729
  5. Step 5: Solve for x
    x = 4,647,600,307,137,729/30,681,428.06
  6. Step 6: Final answer
    x = 151,479,269.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.