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Finding the Third Proportional to 4,501.88 and 7,129.88

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Solution

The third proportional to 4,501.88 and 7,129.88 is: 11,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.88 : 7,129.88 = 7,129.88 : x
  2. Step 2: Convert to fraction form
    4,501.88/7,129.88 = 7,129.88/x
  3. Step 3: Cross multiply
    4,501.88x = 7,129.88 × 7,129.88
  4. Step 4: Simplify right side
    4,501.88x = 50,835,117.52
  5. Step 5: Solve for x
    x = 50,835,117.52/4,501.88
  6. Step 6: Final answer
    x = 11,291.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.