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Finding the Third Proportional to 314,986 and 691,213

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Solution

The third proportional to 314,986 and 691,213 is: 1,516,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,986 : 691,213 = 691,213 : x
  2. Step 2: Convert to fraction form
    314,986/691,213 = 691,213/x
  3. Step 3: Cross multiply
    314,986x = 691,213 × 691,213
  4. Step 4: Simplify right side
    314,986x = 477,775,411,369
  5. Step 5: Solve for x
    x = 477,775,411,369/314,986
  6. Step 6: Final answer
    x = 1,516,814.75

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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.