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Finding the Third Proportional to 20,240,085 and 31,090,989

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Solution

The third proportional to 20,240,085 and 31,090,989 is: 47,759,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240,085 : 31,090,989 = 31,090,989 : x
  2. Step 2: Convert to fraction form
    20,240,085/31,090,989 = 31,090,989/x
  3. Step 3: Cross multiply
    20,240,085x = 31,090,989 × 31,090,989
  4. Step 4: Simplify right side
    20,240,085x = 966,649,596,998,121
  5. Step 5: Solve for x
    x = 966,649,596,998,121/20,240,085
  6. Step 6: Final answer
    x = 47,759,166.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.