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Finding the Third Proportional to 65,605 and 135,877

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Solution

The third proportional to 65,605 and 135,877 is: 281,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,605 : 135,877 = 135,877 : x
  2. Step 2: Convert to fraction form
    65,605/135,877 = 135,877/x
  3. Step 3: Cross multiply
    65,605x = 135,877 × 135,877
  4. Step 4: Simplify right side
    65,605x = 18,462,559,129
  5. Step 5: Solve for x
    x = 18,462,559,129/65,605
  6. Step 6: Final answer
    x = 281,420.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.