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Finding the Third Proportional to 100,695,786 and 216,885,783.50

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Solution

The third proportional to 100,695,786 and 216,885,783.50 is: 467,144,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695,786 : 216,885,783.50 = 216,885,783.50 : x
  2. Step 2: Convert to fraction form
    100,695,786/216,885,783.50 = 216,885,783.50/x
  3. Step 3: Cross multiply
    100,695,786x = 216,885,783.50 × 216,885,783.50
  4. Step 4: Simplify right side
    100,695,786x = 47,039,443,084,408,872
  5. Step 5: Solve for x
    x = 47,039,443,084,408,872/100,695,786
  6. Step 6: Final answer
    x = 467,144,107.54

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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.