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Finding the Third Proportional to 301,290.75 and 455,017.50

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Solution

The third proportional to 301,290.75 and 455,017.50 is: 687,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,290.75 : 455,017.50 = 455,017.50 : x
  2. Step 2: Convert to fraction form
    301,290.75/455,017.50 = 455,017.50/x
  3. Step 3: Cross multiply
    301,290.75x = 455,017.50 × 455,017.50
  4. Step 4: Simplify right side
    301,290.75x = 207,040,925,306.25
  5. Step 5: Solve for x
    x = 207,040,925,306.25/301,290.75
  6. Step 6: Final answer
    x = 687,179.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.