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Finding the Third Proportional to 43,685 and 65,459

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Solution

The third proportional to 43,685 and 65,459 is: 98,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,685 : 65,459 = 65,459 : x
  2. Step 2: Convert to fraction form
    43,685/65,459 = 65,459/x
  3. Step 3: Cross multiply
    43,685x = 65,459 × 65,459
  4. Step 4: Simplify right side
    43,685x = 4,284,880,681
  5. Step 5: Solve for x
    x = 4,284,880,681/43,685
  6. Step 6: Final answer
    x = 98,085.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.