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Finding the Third Proportional to 13,543.88 and 25,386.75

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Solution

The third proportional to 13,543.88 and 25,386.75 is: 47,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.88 : 25,386.75 = 25,386.75 : x
  2. Step 2: Convert to fraction form
    13,543.88/25,386.75 = 25,386.75/x
  3. Step 3: Cross multiply
    13,543.88x = 25,386.75 × 25,386.75
  4. Step 4: Simplify right side
    13,543.88x = 644,487,075.56
  5. Step 5: Solve for x
    x = 644,487,075.56/13,543.88
  6. Step 6: Final answer
    x = 47,585.13

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.