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Finding the Third Proportional to 380,689 and 535,617

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Solution

The third proportional to 380,689 and 535,617 is: 753,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,689 : 535,617 = 535,617 : x
  2. Step 2: Convert to fraction form
    380,689/535,617 = 535,617/x
  3. Step 3: Cross multiply
    380,689x = 535,617 × 535,617
  4. Step 4: Simplify right side
    380,689x = 286,885,570,689
  5. Step 5: Solve for x
    x = 286,885,570,689/380,689
  6. Step 6: Final answer
    x = 753,595.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.