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Finding the Third Proportional to 30,638,159 and 66,118,077

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Solution

The third proportional to 30,638,159 and 66,118,077 is: 142,684,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638,159 : 66,118,077 = 66,118,077 : x
  2. Step 2: Convert to fraction form
    30,638,159/66,118,077 = 66,118,077/x
  3. Step 3: Cross multiply
    30,638,159x = 66,118,077 × 66,118,077
  4. Step 4: Simplify right side
    30,638,159x = 4,371,600,106,177,929
  5. Step 5: Solve for x
    x = 4,371,600,106,177,929/30,638,159
  6. Step 6: Final answer
    x = 142,684,816.87

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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.