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Finding the Third Proportional to 315,301.50 and 691,922.25

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Solution

The third proportional to 315,301.50 and 691,922.25 is: 1,518,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,301.50 : 691,922.25 = 691,922.25 : x
  2. Step 2: Convert to fraction form
    315,301.50/691,922.25 = 691,922.25/x
  3. Step 3: Cross multiply
    315,301.50x = 691,922.25 × 691,922.25
  4. Step 4: Simplify right side
    315,301.50x = 478,756,400,045.06
  5. Step 5: Solve for x
    x = 478,756,400,045.06/315,301.50
  6. Step 6: Final answer
    x = 1,518,408.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.