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Finding the Third Proportional to 7,780,225.50 and 12,500,703

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Solution

The third proportional to 7,780,225.50 and 12,500,703 is: 20,085,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780,225.50 : 12,500,703 = 12,500,703 : x
  2. Step 2: Convert to fraction form
    7,780,225.50/12,500,703 = 12,500,703/x
  3. Step 3: Cross multiply
    7,780,225.50x = 12,500,703 × 12,500,703
  4. Step 4: Simplify right side
    7,780,225.50x = 156,267,575,494,209
  5. Step 5: Solve for x
    x = 156,267,575,494,209/7,780,225.50
  6. Step 6: Final answer
    x = 20,085,224.46

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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.