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Finding the Third Proportional to 31,031,697 and 65,846,019

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Solution

The third proportional to 31,031,697 and 65,846,019 is: 139,718,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031,697 : 65,846,019 = 65,846,019 : x
  2. Step 2: Convert to fraction form
    31,031,697/65,846,019 = 65,846,019/x
  3. Step 3: Cross multiply
    31,031,697x = 65,846,019 × 65,846,019
  4. Step 4: Simplify right side
    31,031,697x = 4,335,698,218,148,361
  5. Step 5: Solve for x
    x = 4,335,698,218,148,361/31,031,697
  6. Step 6: Final answer
    x = 139,718,373.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.