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Finding the Third Proportional to 9,078,480 and 19,534,608

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Solution

The third proportional to 9,078,480 and 19,534,608 is: 42,033,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078,480 : 19,534,608 = 19,534,608 : x
  2. Step 2: Convert to fraction form
    9,078,480/19,534,608 = 19,534,608/x
  3. Step 3: Cross multiply
    9,078,480x = 19,534,608 × 19,534,608
  4. Step 4: Simplify right side
    9,078,480x = 381,600,909,713,664
  5. Step 5: Solve for x
    x = 381,600,909,713,664/9,078,480
  6. Step 6: Final answer
    x = 42,033,568.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.