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Finding the Third Proportional to 80,458,701 and 120,688,113

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Solution

The third proportional to 80,458,701 and 120,688,113 is: 181,032,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,458,701 : 120,688,113 = 120,688,113 : x
  2. Step 2: Convert to fraction form
    80,458,701/120,688,113 = 120,688,113/x
  3. Step 3: Cross multiply
    80,458,701x = 120,688,113 × 120,688,113
  4. Step 4: Simplify right side
    80,458,701x = 14,565,620,619,500,768
  5. Step 5: Solve for x
    x = 14,565,620,619,500,768/80,458,701
  6. Step 6: Final answer
    x = 181,032,261.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.