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Finding the Third Proportional to 211,708,257 and 458,595,878

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Solution

The third proportional to 211,708,257 and 458,595,878 is: 993,396,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,708,257 : 458,595,878 = 458,595,878 : x
  2. Step 2: Convert to fraction form
    211,708,257/458,595,878 = 458,595,878/x
  3. Step 3: Cross multiply
    211,708,257x = 458,595,878 × 458,595,878
  4. Step 4: Simplify right side
    211,708,257x = 210,310,179,318,590,880
  5. Step 5: Solve for x
    x = 210,310,179,318,590,880/211,708,257
  6. Step 6: Final answer
    x = 993,396,206.17

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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.