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Finding the Third Proportional to 31,045,990 and 65,308,976

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Solution

The third proportional to 31,045,990 and 65,308,976 is: 137,385,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045,990 : 65,308,976 = 65,308,976 : x
  2. Step 2: Convert to fraction form
    31,045,990/65,308,976 = 65,308,976/x
  3. Step 3: Cross multiply
    31,045,990x = 65,308,976 × 65,308,976
  4. Step 4: Simplify right side
    31,045,990x = 4,265,262,346,168,576
  5. Step 5: Solve for x
    x = 4,265,262,346,168,576/31,045,990
  6. Step 6: Final answer
    x = 137,385,290.22

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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.