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Finding the Third Proportional to 31,890,948 and 68,033,928

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Solution

The third proportional to 31,890,948 and 68,033,928 is: 145,138,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890,948 : 68,033,928 = 68,033,928 : x
  2. Step 2: Convert to fraction form
    31,890,948/68,033,928 = 68,033,928/x
  3. Step 3: Cross multiply
    31,890,948x = 68,033,928 × 68,033,928
  4. Step 4: Simplify right side
    31,890,948x = 4,628,615,359,109,184
  5. Step 5: Solve for x
    x = 4,628,615,359,109,184/31,890,948
  6. Step 6: Final answer
    x = 145,138,845.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.