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Finding the Third Proportional to 39,420 and 53,110.50

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Solution

The third proportional to 39,420 and 53,110.50 is: 71,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420 : 53,110.50 = 53,110.50 : x
  2. Step 2: Convert to fraction form
    39,420/53,110.50 = 53,110.50/x
  3. Step 3: Cross multiply
    39,420x = 53,110.50 × 53,110.50
  4. Step 4: Simplify right side
    39,420x = 2,820,725,210.25
  5. Step 5: Solve for x
    x = 2,820,725,210.25/39,420
  6. Step 6: Final answer
    x = 71,555.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.