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Finding the Third Proportional to 53,288 and 78,420

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Solution

The third proportional to 53,288 and 78,420 is: 115,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,288 : 78,420 = 78,420 : x
  2. Step 2: Convert to fraction form
    53,288/78,420 = 78,420/x
  3. Step 3: Cross multiply
    53,288x = 78,420 × 78,420
  4. Step 4: Simplify right side
    53,288x = 6,149,696,400
  5. Step 5: Solve for x
    x = 6,149,696,400/53,288
  6. Step 6: Final answer
    x = 115,404.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.