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Finding the Third Proportional to 9,459,742 and 20,686,134

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Solution

The third proportional to 9,459,742 and 20,686,134 is: 45,235,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,742 : 20,686,134 = 20,686,134 : x
  2. Step 2: Convert to fraction form
    9,459,742/20,686,134 = 20,686,134/x
  3. Step 3: Cross multiply
    9,459,742x = 20,686,134 × 20,686,134
  4. Step 4: Simplify right side
    9,459,742x = 427,916,139,865,956
  5. Step 5: Solve for x
    x = 427,916,139,865,956/9,459,742
  6. Step 6: Final answer
    x = 45,235,497.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.