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Finding the Third Proportional to 8,155,984 and 11,407,480

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Solution

The third proportional to 8,155,984 and 11,407,480 is: 15,955,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155,984 : 11,407,480 = 11,407,480 : x
  2. Step 2: Convert to fraction form
    8,155,984/11,407,480 = 11,407,480/x
  3. Step 3: Cross multiply
    8,155,984x = 11,407,480 × 11,407,480
  4. Step 4: Simplify right side
    8,155,984x = 130,130,599,950,400
  5. Step 5: Solve for x
    x = 130,130,599,950,400/8,155,984
  6. Step 6: Final answer
    x = 15,955,229.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.