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Finding the Third Proportional to 453,036,408 and 699,582,790.50

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Solution

The third proportional to 453,036,408 and 699,582,790.50 is: 1,080,301,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,036,408 : 699,582,790.50 = 699,582,790.50 : x
  2. Step 2: Convert to fraction form
    453,036,408/699,582,790.50 = 699,582,790.50/x
  3. Step 3: Cross multiply
    453,036,408x = 699,582,790.50 × 699,582,790.50
  4. Step 4: Simplify right side
    453,036,408x = 489,416,080,763,766,912
  5. Step 5: Solve for x
    x = 489,416,080,763,766,912/453,036,408
  6. Step 6: Final answer
    x = 1,080,301,874.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.