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Finding the Third Proportional to 21,420,173 and 47,091,853

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Solution

The third proportional to 21,420,173 and 47,091,853 is: 103,530,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420,173 : 47,091,853 = 47,091,853 : x
  2. Step 2: Convert to fraction form
    21,420,173/47,091,853 = 47,091,853/x
  3. Step 3: Cross multiply
    21,420,173x = 47,091,853 × 47,091,853
  4. Step 4: Simplify right side
    21,420,173x = 2,217,642,618,973,609
  5. Step 5: Solve for x
    x = 2,217,642,618,973,609/21,420,173
  6. Step 6: Final answer
    x = 103,530,565.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.