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Finding the Third Proportional to 273,241,303.50 and 422,630,184

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Solution

The third proportional to 273,241,303.50 and 422,630,184 is: 653,694,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,303.50 : 422,630,184 = 422,630,184 : x
  2. Step 2: Convert to fraction form
    273,241,303.50/422,630,184 = 422,630,184/x
  3. Step 3: Cross multiply
    273,241,303.50x = 422,630,184 × 422,630,184
  4. Step 4: Simplify right side
    273,241,303.50x = 178,616,272,427,873,856
  5. Step 5: Solve for x
    x = 178,616,272,427,873,856/273,241,303.50
  6. Step 6: Final answer
    x = 653,694,262.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.