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Finding the Third Proportional to 53,460 and 79,359.75

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Solution

The third proportional to 53,460 and 79,359.75 is: 117,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,460 : 79,359.75 = 79,359.75 : x
  2. Step 2: Convert to fraction form
    53,460/79,359.75 = 79,359.75/x
  3. Step 3: Cross multiply
    53,460x = 79,359.75 × 79,359.75
  4. Step 4: Simplify right side
    53,460x = 6,297,969,920.06
  5. Step 5: Solve for x
    x = 6,297,969,920.06/53,460
  6. Step 6: Final answer
    x = 117,807.14

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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.