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Finding the Third Proportional to 30,382.50 and 62,709

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Solution

The third proportional to 30,382.50 and 62,709 is: 129,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.50 : 62,709 = 62,709 : x
  2. Step 2: Convert to fraction form
    30,382.50/62,709 = 62,709/x
  3. Step 3: Cross multiply
    30,382.50x = 62,709 × 62,709
  4. Step 4: Simplify right side
    30,382.50x = 3,932,418,681
  5. Step 5: Solve for x
    x = 3,932,418,681/30,382.50
  6. Step 6: Final answer
    x = 129,430.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.