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Finding the Third Proportional to 3,406,464 and 5,343,744

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Solution

The third proportional to 3,406,464 and 5,343,744 is: 8,382,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,464 : 5,343,744 = 5,343,744 : x
  2. Step 2: Convert to fraction form
    3,406,464/5,343,744 = 5,343,744/x
  3. Step 3: Cross multiply
    3,406,464x = 5,343,744 × 5,343,744
  4. Step 4: Simplify right side
    3,406,464x = 28,555,599,937,536
  5. Step 5: Solve for x
    x = 28,555,599,937,536/3,406,464
  6. Step 6: Final answer
    x = 8,382,768.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.