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Finding the Third Proportional to 311,475 and 681,918

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Solution

The third proportional to 311,475 and 681,918 is: 1,492,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,475 : 681,918 = 681,918 : x
  2. Step 2: Convert to fraction form
    311,475/681,918 = 681,918/x
  3. Step 3: Cross multiply
    311,475x = 681,918 × 681,918
  4. Step 4: Simplify right side
    311,475x = 465,012,158,724
  5. Step 5: Solve for x
    x = 465,012,158,724/311,475
  6. Step 6: Final answer
    x = 1,492,935.74

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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.