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Finding the Third Proportional to 9,345.38 and 15,575.63

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Solution

The third proportional to 9,345.38 and 15,575.63 is: 25,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.38 : 15,575.63 = 15,575.63 : x
  2. Step 2: Convert to fraction form
    9,345.38/15,575.63 = 15,575.63/x
  3. Step 3: Cross multiply
    9,345.38x = 15,575.63 × 15,575.63
  4. Step 4: Simplify right side
    9,345.38x = 242,600,094.14
  5. Step 5: Solve for x
    x = 242,600,094.14/9,345.38
  6. Step 6: Final answer
    x = 25,959.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.