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Finding the Third Proportional to 313,911 and 681,335

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Solution

The third proportional to 313,911 and 681,335 is: 1,478,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,911 : 681,335 = 681,335 : x
  2. Step 2: Convert to fraction form
    313,911/681,335 = 681,335/x
  3. Step 3: Cross multiply
    313,911x = 681,335 × 681,335
  4. Step 4: Simplify right side
    313,911x = 464,217,382,225
  5. Step 5: Solve for x
    x = 464,217,382,225/313,911
  6. Step 6: Final answer
    x = 1,478,818.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.