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Finding the Third Proportional to 100,918,780 and 220,943,180

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Solution

The third proportional to 100,918,780 and 220,943,180 is: 483,714,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,918,780 : 220,943,180 = 220,943,180 : x
  2. Step 2: Convert to fraction form
    100,918,780/220,943,180 = 220,943,180/x
  3. Step 3: Cross multiply
    100,918,780x = 220,943,180 × 220,943,180
  4. Step 4: Simplify right side
    100,918,780x = 48,815,888,788,512,400
  5. Step 5: Solve for x
    x = 48,815,888,788,512,400/100,918,780
  6. Step 6: Final answer
    x = 483,714,614.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.