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Finding the Third Proportional to 14,420.50 and 31,289

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Solution

The third proportional to 14,420.50 and 31,289 is: 67,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.50 : 31,289 = 31,289 : x
  2. Step 2: Convert to fraction form
    14,420.50/31,289 = 31,289/x
  3. Step 3: Cross multiply
    14,420.50x = 31,289 × 31,289
  4. Step 4: Simplify right side
    14,420.50x = 979,001,521
  5. Step 5: Solve for x
    x = 979,001,521/14,420.50
  6. Step 6: Final answer
    x = 67,889.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.