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Finding the Third Proportional to 21,785,685 and 47,403,480

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Solution

The third proportional to 21,785,685 and 47,403,480 is: 103,145,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785,685 : 47,403,480 = 47,403,480 : x
  2. Step 2: Convert to fraction form
    21,785,685/47,403,480 = 47,403,480/x
  3. Step 3: Cross multiply
    21,785,685x = 47,403,480 × 47,403,480
  4. Step 4: Simplify right side
    21,785,685x = 2,247,089,916,110,400
  5. Step 5: Solve for x
    x = 2,247,089,916,110,400/21,785,685
  6. Step 6: Final answer
    x = 103,145,249.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.