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Finding the Third Proportional to 7,780,230 and 12,500,710

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Solution

The third proportional to 7,780,230 and 12,500,710 is: 20,085,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780,230 : 12,500,710 = 12,500,710 : x
  2. Step 2: Convert to fraction form
    7,780,230/12,500,710 = 12,500,710/x
  3. Step 3: Cross multiply
    7,780,230x = 12,500,710 × 12,500,710
  4. Step 4: Simplify right side
    7,780,230x = 156,267,750,504,100
  5. Step 5: Solve for x
    x = 156,267,750,504,100/7,780,230
  6. Step 6: Final answer
    x = 20,085,235.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.