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Finding the Third Proportional to 134,817 and 289,986

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Solution

The third proportional to 134,817 and 289,986 is: 623,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,817 : 289,986 = 289,986 : x
  2. Step 2: Convert to fraction form
    134,817/289,986 = 289,986/x
  3. Step 3: Cross multiply
    134,817x = 289,986 × 289,986
  4. Step 4: Simplify right side
    134,817x = 84,091,880,196
  5. Step 5: Solve for x
    x = 84,091,880,196/134,817
  6. Step 6: Final answer
    x = 623,748.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.