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Finding the Third Proportional to 9,407,428 and 19,945,260

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Solution

The third proportional to 9,407,428 and 19,945,260 is: 42,287,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,428 : 19,945,260 = 19,945,260 : x
  2. Step 2: Convert to fraction form
    9,407,428/19,945,260 = 19,945,260/x
  3. Step 3: Cross multiply
    9,407,428x = 19,945,260 × 19,945,260
  4. Step 4: Simplify right side
    9,407,428x = 397,813,396,467,600
  5. Step 5: Solve for x
    x = 397,813,396,467,600/9,407,428
  6. Step 6: Final answer
    x = 42,287,158.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.