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Finding the Third Proportional to 9,722,480 and 20,952,256

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Solution

The third proportional to 9,722,480 and 20,952,256 is: 45,152,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,480 : 20,952,256 = 20,952,256 : x
  2. Step 2: Convert to fraction form
    9,722,480/20,952,256 = 20,952,256/x
  3. Step 3: Cross multiply
    9,722,480x = 20,952,256 × 20,952,256
  4. Step 4: Simplify right side
    9,722,480x = 438,997,031,489,536
  5. Step 5: Solve for x
    x = 438,997,031,489,536/9,722,480
  6. Step 6: Final answer
    x = 45,152,783.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.