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Finding the Third Proportional to 13,710 and 30,038.25

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Solution

The third proportional to 13,710 and 30,038.25 is: 65,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 30,038.25 = 30,038.25 : x
  2. Step 2: Convert to fraction form
    13,710/30,038.25 = 30,038.25/x
  3. Step 3: Cross multiply
    13,710x = 30,038.25 × 30,038.25
  4. Step 4: Simplify right side
    13,710x = 902,296,463.06
  5. Step 5: Solve for x
    x = 902,296,463.06/13,710
  6. Step 6: Final answer
    x = 65,813.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.