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Finding the Third Proportional to 313,566 and 687,178

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Solution

The third proportional to 313,566 and 687,178 is: 1,505,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,566 : 687,178 = 687,178 : x
  2. Step 2: Convert to fraction form
    313,566/687,178 = 687,178/x
  3. Step 3: Cross multiply
    313,566x = 687,178 × 687,178
  4. Step 4: Simplify right side
    313,566x = 472,213,603,684
  5. Step 5: Solve for x
    x = 472,213,603,684/313,566
  6. Step 6: Final answer
    x = 1,505,946.45

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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.