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Finding the Third Proportional to 457,588 and 699,986

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Solution

The third proportional to 457,588 and 699,986 is: 1,070,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,588 : 699,986 = 699,986 : x
  2. Step 2: Convert to fraction form
    457,588/699,986 = 699,986/x
  3. Step 3: Cross multiply
    457,588x = 699,986 × 699,986
  4. Step 4: Simplify right side
    457,588x = 489,980,400,196
  5. Step 5: Solve for x
    x = 489,980,400,196/457,588
  6. Step 6: Final answer
    x = 1,070,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.