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Finding the Third Proportional to 20,899,054 and 45,285,691.50

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Solution

The third proportional to 20,899,054 and 45,285,691.50 is: 98,128,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899,054 : 45,285,691.50 = 45,285,691.50 : x
  2. Step 2: Convert to fraction form
    20,899,054/45,285,691.50 = 45,285,691.50/x
  3. Step 3: Cross multiply
    20,899,054x = 45,285,691.50 × 45,285,691.50
  4. Step 4: Simplify right side
    20,899,054x = 2,050,793,854,633,172.25
  5. Step 5: Solve for x
    x = 2,050,793,854,633,172.25/20,899,054
  6. Step 6: Final answer
    x = 98,128,549.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.