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Finding the Third Proportional to 43,590 and 65,709

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Solution

The third proportional to 43,590 and 65,709 is: 99,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,590 : 65,709 = 65,709 : x
  2. Step 2: Convert to fraction form
    43,590/65,709 = 65,709/x
  3. Step 3: Cross multiply
    43,590x = 65,709 × 65,709
  4. Step 4: Simplify right side
    43,590x = 4,317,672,681
  5. Step 5: Solve for x
    x = 4,317,672,681/43,590
  6. Step 6: Final answer
    x = 99,051.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.