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Finding the Third Proportional to 283,617 and 439,101

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Solution

The third proportional to 283,617 and 439,101 is: 679,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,617 : 439,101 = 439,101 : x
  2. Step 2: Convert to fraction form
    283,617/439,101 = 439,101/x
  3. Step 3: Cross multiply
    283,617x = 439,101 × 439,101
  4. Step 4: Simplify right side
    283,617x = 192,809,688,201
  5. Step 5: Solve for x
    x = 192,809,688,201/283,617
  6. Step 6: Final answer
    x = 679,824.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.