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Finding the Third Proportional to 30,991,070 and 67,562,278

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Solution

The third proportional to 30,991,070 and 67,562,278 is: 147,289,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991,070 : 67,562,278 = 67,562,278 : x
  2. Step 2: Convert to fraction form
    30,991,070/67,562,278 = 67,562,278/x
  3. Step 3: Cross multiply
    30,991,070x = 67,562,278 × 67,562,278
  4. Step 4: Simplify right side
    30,991,070x = 4,564,661,408,549,284
  5. Step 5: Solve for x
    x = 4,564,661,408,549,284/30,991,070
  6. Step 6: Final answer
    x = 147,289,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.