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Finding the Third Proportional to 312,266 and 686,740

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Solution

The third proportional to 312,266 and 686,740 is: 1,510,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,266 : 686,740 = 686,740 : x
  2. Step 2: Convert to fraction form
    312,266/686,740 = 686,740/x
  3. Step 3: Cross multiply
    312,266x = 686,740 × 686,740
  4. Step 4: Simplify right side
    312,266x = 471,611,827,600
  5. Step 5: Solve for x
    x = 471,611,827,600/312,266
  6. Step 6: Final answer
    x = 1,510,288.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.