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Finding the Third Proportional to 9,470,948 and 20,455,216

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Solution

The third proportional to 9,470,948 and 20,455,216 is: 44,178,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470,948 : 20,455,216 = 20,455,216 : x
  2. Step 2: Convert to fraction form
    9,470,948/20,455,216 = 20,455,216/x
  3. Step 3: Cross multiply
    9,470,948x = 20,455,216 × 20,455,216
  4. Step 4: Simplify right side
    9,470,948x = 418,415,861,606,656
  5. Step 5: Solve for x
    x = 418,415,861,606,656/9,470,948
  6. Step 6: Final answer
    x = 44,178,878.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.