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Finding the Third Proportional to 5,428 and 9,725

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Solution

The third proportional to 5,428 and 9,725 is: 17,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428 : 9,725 = 9,725 : x
  2. Step 2: Convert to fraction form
    5,428/9,725 = 9,725/x
  3. Step 3: Cross multiply
    5,428x = 9,725 × 9,725
  4. Step 4: Simplify right side
    5,428x = 94,575,625
  5. Step 5: Solve for x
    x = 94,575,625/5,428
  6. Step 6: Final answer
    x = 17,423.66

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.