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Finding the Third Proportional to 4,205,790 and 9,120,168

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Solution

The third proportional to 4,205,790 and 9,120,168 is: 19,776,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,790 : 9,120,168 = 9,120,168 : x
  2. Step 2: Convert to fraction form
    4,205,790/9,120,168 = 9,120,168/x
  3. Step 3: Cross multiply
    4,205,790x = 9,120,168 × 9,120,168
  4. Step 4: Simplify right side
    4,205,790x = 83,177,464,348,224
  5. Step 5: Solve for x
    x = 83,177,464,348,224/4,205,790
  6. Step 6: Final answer
    x = 19,776,894.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.