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Finding the Third Proportional to 315,120.38 and 691,466.63

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Solution

The third proportional to 315,120.38 and 691,466.63 is: 1,517,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,120.38 : 691,466.63 = 691,466.63 : x
  2. Step 2: Convert to fraction form
    315,120.38/691,466.63 = 691,466.63/x
  3. Step 3: Cross multiply
    315,120.38x = 691,466.63 × 691,466.63
  4. Step 4: Simplify right side
    315,120.38x = 478,126,093,488.89
  5. Step 5: Solve for x
    x = 478,126,093,488.89/315,120.38
  6. Step 6: Final answer
    x = 1,517,280.80

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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.