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Finding the Third Proportional to 213,325.31 and 319,384.69

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Solution

The third proportional to 213,325.31 and 319,384.69 is: 478,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,325.31 : 319,384.69 = 319,384.69 : x
  2. Step 2: Convert to fraction form
    213,325.31/319,384.69 = 319,384.69/x
  3. Step 3: Cross multiply
    213,325.31x = 319,384.69 × 319,384.69
  4. Step 4: Simplify right side
    213,325.31x = 102,006,578,609.47
  5. Step 5: Solve for x
    x = 102,006,578,609.47/213,325.31
  6. Step 6: Final answer
    x = 478,173.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.