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Finding the Third Proportional to 316,975 and 687,706

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Solution

The third proportional to 316,975 and 687,706 is: 1,492,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,975 : 687,706 = 687,706 : x
  2. Step 2: Convert to fraction form
    316,975/687,706 = 687,706/x
  3. Step 3: Cross multiply
    316,975x = 687,706 × 687,706
  4. Step 4: Simplify right side
    316,975x = 472,939,542,436
  5. Step 5: Solve for x
    x = 472,939,542,436/316,975
  6. Step 6: Final answer
    x = 1,492,040.52

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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.