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Finding the Third Proportional to 7,329,920 and 11,184,420

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Solution

The third proportional to 7,329,920 and 11,184,420 is: 17,065,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329,920 : 11,184,420 = 11,184,420 : x
  2. Step 2: Convert to fraction form
    7,329,920/11,184,420 = 11,184,420/x
  3. Step 3: Cross multiply
    7,329,920x = 11,184,420 × 11,184,420
  4. Step 4: Simplify right side
    7,329,920x = 125,091,250,736,400
  5. Step 5: Solve for x
    x = 125,091,250,736,400/7,329,920
  6. Step 6: Final answer
    x = 17,065,841.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.