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Finding the Third Proportional to 458,859 and 699,952.50

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Solution

The third proportional to 458,859 and 699,952.50 is: 1,067,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,859 : 699,952.50 = 699,952.50 : x
  2. Step 2: Convert to fraction form
    458,859/699,952.50 = 699,952.50/x
  3. Step 3: Cross multiply
    458,859x = 699,952.50 × 699,952.50
  4. Step 4: Simplify right side
    458,859x = 489,933,502,256.25
  5. Step 5: Solve for x
    x = 489,933,502,256.25/458,859
  6. Step 6: Final answer
    x = 1,067,721.24

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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.