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Finding the Third Proportional to 20,920,682.25 and 48,853,345.50

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Solution

The third proportional to 20,920,682.25 and 48,853,345.50 is: 114,080,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920,682.25 : 48,853,345.50 = 48,853,345.50 : x
  2. Step 2: Convert to fraction form
    20,920,682.25/48,853,345.50 = 48,853,345.50/x
  3. Step 3: Cross multiply
    20,920,682.25x = 48,853,345.50 × 48,853,345.50
  4. Step 4: Simplify right side
    20,920,682.25x = 2,386,649,366,542,370
  5. Step 5: Solve for x
    x = 2,386,649,366,542,370/20,920,682.25
  6. Step 6: Final answer
    x = 114,080,857.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.