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Finding the Third Proportional to 383,417 and 830,733

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Solution

The third proportional to 383,417 and 830,733 is: 1,799,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,417 : 830,733 = 830,733 : x
  2. Step 2: Convert to fraction form
    383,417/830,733 = 830,733/x
  3. Step 3: Cross multiply
    383,417x = 830,733 × 830,733
  4. Step 4: Simplify right side
    383,417x = 690,117,317,289
  5. Step 5: Solve for x
    x = 690,117,317,289/383,417
  6. Step 6: Final answer
    x = 1,799,913.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.