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Finding the Third Proportional to 31,262,976 and 65,885,184

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Solution

The third proportional to 31,262,976 and 65,885,184 is: 138,849,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262,976 : 65,885,184 = 65,885,184 : x
  2. Step 2: Convert to fraction form
    31,262,976/65,885,184 = 65,885,184/x
  3. Step 3: Cross multiply
    31,262,976x = 65,885,184 × 65,885,184
  4. Step 4: Simplify right side
    31,262,976x = 4,340,857,470,713,856
  5. Step 5: Solve for x
    x = 4,340,857,470,713,856/31,262,976
  6. Step 6: Final answer
    x = 138,849,784.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.