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Finding the Third Proportional to 333,693 and 787,383

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Solution

The third proportional to 333,693 and 787,383 is: 1,857,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,693 : 787,383 = 787,383 : x
  2. Step 2: Convert to fraction form
    333,693/787,383 = 787,383/x
  3. Step 3: Cross multiply
    333,693x = 787,383 × 787,383
  4. Step 4: Simplify right side
    333,693x = 619,971,988,689
  5. Step 5: Solve for x
    x = 619,971,988,689/333,693
  6. Step 6: Final answer
    x = 1,857,911.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.