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Finding the Third Proportional to 7,955 and 12,581

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Solution

The third proportional to 7,955 and 12,581 is: 19,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955 : 12,581 = 12,581 : x
  2. Step 2: Convert to fraction form
    7,955/12,581 = 12,581/x
  3. Step 3: Cross multiply
    7,955x = 12,581 × 12,581
  4. Step 4: Simplify right side
    7,955x = 158,281,561
  5. Step 5: Solve for x
    x = 158,281,561/7,955
  6. Step 6: Final answer
    x = 19,897.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.