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Finding the Third Proportional to 421,120,818 and 654,646,239

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Solution

The third proportional to 421,120,818 and 654,646,239 is: 1,017,669,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120,818 : 654,646,239 = 654,646,239 : x
  2. Step 2: Convert to fraction form
    421,120,818/654,646,239 = 654,646,239/x
  3. Step 3: Cross multiply
    421,120,818x = 654,646,239 × 654,646,239
  4. Step 4: Simplify right side
    421,120,818x = 428,561,698,236,845,120
  5. Step 5: Solve for x
    x = 428,561,698,236,845,120/421,120,818
  6. Step 6: Final answer
    x = 1,017,669,229.16

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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.