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Finding the Third Proportional to 3,256,428 and 4,787,134

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Solution

The third proportional to 3,256,428 and 4,787,134 is: 7,037,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,428 : 4,787,134 = 4,787,134 : x
  2. Step 2: Convert to fraction form
    3,256,428/4,787,134 = 4,787,134/x
  3. Step 3: Cross multiply
    3,256,428x = 4,787,134 × 4,787,134
  4. Step 4: Simplify right side
    3,256,428x = 22,916,651,933,956
  5. Step 5: Solve for x
    x = 22,916,651,933,956/3,256,428
  6. Step 6: Final answer
    x = 7,037,358.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.