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Finding the Third Proportional to 454,218.75 and 705,315.38

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Solution

The third proportional to 454,218.75 and 705,315.38 is: 1,095,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,218.75 : 705,315.38 = 705,315.38 : x
  2. Step 2: Convert to fraction form
    454,218.75/705,315.38 = 705,315.38/x
  3. Step 3: Cross multiply
    454,218.75x = 705,315.38 × 705,315.38
  4. Step 4: Simplify right side
    454,218.75x = 497,469,778,211.39
  5. Step 5: Solve for x
    x = 497,469,778,211.39/454,218.75
  6. Step 6: Final answer
    x = 1,095,220.70

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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.