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Finding the Third Proportional to 30,638,144 and 66,118,050

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Solution

The third proportional to 30,638,144 and 66,118,050 is: 142,684,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638,144 : 66,118,050 = 66,118,050 : x
  2. Step 2: Convert to fraction form
    30,638,144/66,118,050 = 66,118,050/x
  3. Step 3: Cross multiply
    30,638,144x = 66,118,050 × 66,118,050
  4. Step 4: Simplify right side
    30,638,144x = 4,371,596,535,802,500
  5. Step 5: Solve for x
    x = 4,371,596,535,802,500/30,638,144
  6. Step 6: Final answer
    x = 142,684,770.19

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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.