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Finding the Third Proportional to 39,409.50 and 55,428

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Solution

The third proportional to 39,409.50 and 55,428 is: 77,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409.50 : 55,428 = 55,428 : x
  2. Step 2: Convert to fraction form
    39,409.50/55,428 = 55,428/x
  3. Step 3: Cross multiply
    39,409.50x = 55,428 × 55,428
  4. Step 4: Simplify right side
    39,409.50x = 3,072,263,184
  5. Step 5: Solve for x
    x = 3,072,263,184/39,409.50
  6. Step 6: Final answer
    x = 77,957.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.