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Finding the Third Proportional to 454,220.25 and 705,315.75

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Solution

The third proportional to 454,220.25 and 705,315.75 is: 1,095,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,220.25 : 705,315.75 = 705,315.75 : x
  2. Step 2: Convert to fraction form
    454,220.25/705,315.75 = 705,315.75/x
  3. Step 3: Cross multiply
    454,220.25x = 705,315.75 × 705,315.75
  4. Step 4: Simplify right side
    454,220.25x = 497,470,307,198.06
  5. Step 5: Solve for x
    x = 497,470,307,198.06/454,220.25
  6. Step 6: Final answer
    x = 1,095,218.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.