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Finding the Third Proportional to 20,455,459.50 and 45,451,030.50

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Solution

The third proportional to 20,455,459.50 and 45,451,030.50 is: 100,989,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455,459.50 : 45,451,030.50 = 45,451,030.50 : x
  2. Step 2: Convert to fraction form
    20,455,459.50/45,451,030.50 = 45,451,030.50/x
  3. Step 3: Cross multiply
    20,455,459.50x = 45,451,030.50 × 45,451,030.50
  4. Step 4: Simplify right side
    20,455,459.50x = 2,065,796,173,511,930.25
  5. Step 5: Solve for x
    x = 2,065,796,173,511,930.25/20,455,459.50
  6. Step 6: Final answer
    x = 100,989,966.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.