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Finding the Third Proportional to 55,742,672 and 120,027,760

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Solution

The third proportional to 55,742,672 and 120,027,760 is: 258,449,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742,672 : 120,027,760 = 120,027,760 : x
  2. Step 2: Convert to fraction form
    55,742,672/120,027,760 = 120,027,760/x
  3. Step 3: Cross multiply
    55,742,672x = 120,027,760 × 120,027,760
  4. Step 4: Simplify right side
    55,742,672x = 14,406,663,170,617,600
  5. Step 5: Solve for x
    x = 14,406,663,170,617,600/55,742,672
  6. Step 6: Final answer
    x = 258,449,454.50

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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.