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Finding the Third Proportional to 6,421,920 and 8,806,200

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Solution

The third proportional to 6,421,920 and 8,806,200 is: 12,075,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421,920 : 8,806,200 = 8,806,200 : x
  2. Step 2: Convert to fraction form
    6,421,920/8,806,200 = 8,806,200/x
  3. Step 3: Cross multiply
    6,421,920x = 8,806,200 × 8,806,200
  4. Step 4: Simplify right side
    6,421,920x = 77,549,158,440,000
  5. Step 5: Solve for x
    x = 77,549,158,440,000/6,421,920
  6. Step 6: Final answer
    x = 12,075,696.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.