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Finding the Third Proportional to 13,453 and 31,262

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Solution

The third proportional to 13,453 and 31,262 is: 72,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453 : 31,262 = 31,262 : x
  2. Step 2: Convert to fraction form
    13,453/31,262 = 31,262/x
  3. Step 3: Cross multiply
    13,453x = 31,262 × 31,262
  4. Step 4: Simplify right side
    13,453x = 977,312,644
  5. Step 5: Solve for x
    x = 977,312,644/13,453
  6. Step 6: Final answer
    x = 72,646.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.