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Finding the Third Proportional to 8,256,416 and 17,890,640

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Solution

The third proportional to 8,256,416 and 17,890,640 is: 38,766,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256,416 : 17,890,640 = 17,890,640 : x
  2. Step 2: Convert to fraction form
    8,256,416/17,890,640 = 17,890,640/x
  3. Step 3: Cross multiply
    8,256,416x = 17,890,640 × 17,890,640
  4. Step 4: Simplify right side
    8,256,416x = 320,074,999,609,600
  5. Step 5: Solve for x
    x = 320,074,999,609,600/8,256,416
  6. Step 6: Final answer
    x = 38,766,820.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.