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Finding the Third Proportional to 421,120,820 and 654,646,242

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Solution

The third proportional to 421,120,820 and 654,646,242 is: 1,017,669,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120,820 : 654,646,242 = 654,646,242 : x
  2. Step 2: Convert to fraction form
    421,120,820/654,646,242 = 654,646,242/x
  3. Step 3: Cross multiply
    421,120,820x = 654,646,242 × 654,646,242
  4. Step 4: Simplify right side
    421,120,820x = 428,561,702,164,722,560
  5. Step 5: Solve for x
    x = 428,561,702,164,722,560/421,120,820
  6. Step 6: Final answer
    x = 1,017,669,233.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.