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Finding the Third Proportional to 318,135.50 and 686,086

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Solution

The third proportional to 318,135.50 and 686,086 is: 1,479,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,135.50 : 686,086 = 686,086 : x
  2. Step 2: Convert to fraction form
    318,135.50/686,086 = 686,086/x
  3. Step 3: Cross multiply
    318,135.50x = 686,086 × 686,086
  4. Step 4: Simplify right side
    318,135.50x = 470,713,999,396
  5. Step 5: Solve for x
    x = 470,713,999,396/318,135.50
  6. Step 6: Final answer
    x = 1,479,602.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.