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Finding the Third Proportional to 53,076 and 78,399

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Solution

The third proportional to 53,076 and 78,399 is: 115,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,076 : 78,399 = 78,399 : x
  2. Step 2: Convert to fraction form
    53,076/78,399 = 78,399/x
  3. Step 3: Cross multiply
    53,076x = 78,399 × 78,399
  4. Step 4: Simplify right side
    53,076x = 6,146,403,201
  5. Step 5: Solve for x
    x = 6,146,403,201/53,076
  6. Step 6: Final answer
    x = 115,803.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.