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Finding the Third Proportional to 30,638,157 and 66,118,072.50

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Solution

The third proportional to 30,638,157 and 66,118,072.50 is: 142,684,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638,157 : 66,118,072.50 = 66,118,072.50 : x
  2. Step 2: Convert to fraction form
    30,638,157/66,118,072.50 = 66,118,072.50/x
  3. Step 3: Cross multiply
    30,638,157x = 66,118,072.50 × 66,118,072.50
  4. Step 4: Simplify right side
    30,638,157x = 4,371,599,511,115,256
  5. Step 5: Solve for x
    x = 4,371,599,511,115,256/30,638,157
  6. Step 6: Final answer
    x = 142,684,806.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.