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Finding the Third Proportional to 318,968 and 690,424

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Solution

The third proportional to 318,968 and 690,424 is: 1,494,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,968 : 690,424 = 690,424 : x
  2. Step 2: Convert to fraction form
    318,968/690,424 = 690,424/x
  3. Step 3: Cross multiply
    318,968x = 690,424 × 690,424
  4. Step 4: Simplify right side
    318,968x = 476,685,299,776
  5. Step 5: Solve for x
    x = 476,685,299,776/318,968
  6. Step 6: Final answer
    x = 1,494,461.20

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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.