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Finding the Third Proportional to 7,215,440 and 11,416,824

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Solution

The third proportional to 7,215,440 and 11,416,824 is: 18,064,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215,440 : 11,416,824 = 11,416,824 : x
  2. Step 2: Convert to fraction form
    7,215,440/11,416,824 = 11,416,824/x
  3. Step 3: Cross multiply
    7,215,440x = 11,416,824 × 11,416,824
  4. Step 4: Simplify right side
    7,215,440x = 130,343,870,246,976
  5. Step 5: Solve for x
    x = 130,343,870,246,976/7,215,440
  6. Step 6: Final answer
    x = 18,064,576.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.