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Finding the Third Proportional to 205,429,041.50 and 418,032,513

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Solution

The third proportional to 205,429,041.50 and 418,032,513 is: 850,664,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429,041.50 : 418,032,513 = 418,032,513 : x
  2. Step 2: Convert to fraction form
    205,429,041.50/418,032,513 = 418,032,513/x
  3. Step 3: Cross multiply
    205,429,041.50x = 418,032,513 × 418,032,513
  4. Step 4: Simplify right side
    205,429,041.50x = 174,751,181,925,095,168
  5. Step 5: Solve for x
    x = 174,751,181,925,095,168/205,429,041.50
  6. Step 6: Final answer
    x = 850,664,446.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.