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Finding the Third Proportional to 31,823,556 and 68,718,036

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Solution

The third proportional to 31,823,556 and 68,718,036 is: 148,385,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823,556 : 68,718,036 = 68,718,036 : x
  2. Step 2: Convert to fraction form
    31,823,556/68,718,036 = 68,718,036/x
  3. Step 3: Cross multiply
    31,823,556x = 68,718,036 × 68,718,036
  4. Step 4: Simplify right side
    31,823,556x = 4,722,168,471,697,296
  5. Step 5: Solve for x
    x = 4,722,168,471,697,296/31,823,556
  6. Step 6: Final answer
    x = 148,385,946.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.