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Finding the Third Proportional to 31,055,150 and 65,322,920

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Solution

The third proportional to 31,055,150 and 65,322,920 is: 137,403,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055,150 : 65,322,920 = 65,322,920 : x
  2. Step 2: Convert to fraction form
    31,055,150/65,322,920 = 65,322,920/x
  3. Step 3: Cross multiply
    31,055,150x = 65,322,920 × 65,322,920
  4. Step 4: Simplify right side
    31,055,150x = 4,267,083,877,326,400
  5. Step 5: Solve for x
    x = 4,267,083,877,326,400/31,055,150
  6. Step 6: Final answer
    x = 137,403,421.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.