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Finding the Third Proportional to 9,717,320 and 21,265,170

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Solution

The third proportional to 9,717,320 and 21,265,170 is: 46,536,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,320 : 21,265,170 = 21,265,170 : x
  2. Step 2: Convert to fraction form
    9,717,320/21,265,170 = 21,265,170/x
  3. Step 3: Cross multiply
    9,717,320x = 21,265,170 × 21,265,170
  4. Step 4: Simplify right side
    9,717,320x = 452,207,455,128,900
  5. Step 5: Solve for x
    x = 452,207,455,128,900/9,717,320
  6. Step 6: Final answer
    x = 46,536,231.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.