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Finding the Third Proportional to 13,473 and 31,460.25

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Solution

The third proportional to 13,473 and 31,460.25 is: 73,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473 : 31,460.25 = 31,460.25 : x
  2. Step 2: Convert to fraction form
    13,473/31,460.25 = 31,460.25/x
  3. Step 3: Cross multiply
    13,473x = 31,460.25 × 31,460.25
  4. Step 4: Simplify right side
    13,473x = 989,747,330.06
  5. Step 5: Solve for x
    x = 989,747,330.06/13,473
  6. Step 6: Final answer
    x = 73,461.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.