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Finding the Third Proportional to 100,918,760 and 220,943,140

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Solution

The third proportional to 100,918,760 and 220,943,140 is: 483,714,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,918,760 : 220,943,140 = 220,943,140 : x
  2. Step 2: Convert to fraction form
    100,918,760/220,943,140 = 220,943,140/x
  3. Step 3: Cross multiply
    100,918,760x = 220,943,140 × 220,943,140
  4. Step 4: Simplify right side
    100,918,760x = 48,815,871,113,059,600
  5. Step 5: Solve for x
    x = 48,815,871,113,059,600/100,918,760
  6. Step 6: Final answer
    x = 483,714,535.46

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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.