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Finding the Third Proportional to 206,939,886 and 287,730,477

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Solution

The third proportional to 206,939,886 and 287,730,477 is: 400,062,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,939,886 : 287,730,477 = 287,730,477 : x
  2. Step 2: Convert to fraction form
    206,939,886/287,730,477 = 287,730,477/x
  3. Step 3: Cross multiply
    206,939,886x = 287,730,477 × 287,730,477
  4. Step 4: Simplify right side
    206,939,886x = 82,788,827,394,647,536
  5. Step 5: Solve for x
    x = 82,788,827,394,647,536/206,939,886
  6. Step 6: Final answer
    x = 400,062,206.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.