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Finding the Third Proportional to 31,319 and 65,715

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Solution

The third proportional to 31,319 and 65,715 is: 137,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319 : 65,715 = 65,715 : x
  2. Step 2: Convert to fraction form
    31,319/65,715 = 65,715/x
  3. Step 3: Cross multiply
    31,319x = 65,715 × 65,715
  4. Step 4: Simplify right side
    31,319x = 4,318,461,225
  5. Step 5: Solve for x
    x = 4,318,461,225/31,319
  6. Step 6: Final answer
    x = 137,886.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.