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Finding the Third Proportional to 31,882,778 and 66,596,080

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Solution

The third proportional to 31,882,778 and 66,596,080 is: 139,104,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882,778 : 66,596,080 = 66,596,080 : x
  2. Step 2: Convert to fraction form
    31,882,778/66,596,080 = 66,596,080/x
  3. Step 3: Cross multiply
    31,882,778x = 66,596,080 × 66,596,080
  4. Step 4: Simplify right side
    31,882,778x = 4,435,037,871,366,400
  5. Step 5: Solve for x
    x = 4,435,037,871,366,400/31,882,778
  6. Step 6: Final answer
    x = 139,104,499.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.