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Finding the Third Proportional to 132,814.69 and 285,312.38

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Solution

The third proportional to 132,814.69 and 285,312.38 is: 612,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,814.69 : 285,312.38 = 285,312.38 : x
  2. Step 2: Convert to fraction form
    132,814.69/285,312.38 = 285,312.38/x
  3. Step 3: Cross multiply
    132,814.69x = 285,312.38 × 285,312.38
  4. Step 4: Simplify right side
    132,814.69x = 81,403,151,328.14
  5. Step 5: Solve for x
    x = 81,403,151,328.14/132,814.69
  6. Step 6: Final answer
    x = 612,907.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.