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Finding the Third Proportional to 34,580 and 53,405

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Solution

The third proportional to 34,580 and 53,405 is: 82,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580 : 53,405 = 53,405 : x
  2. Step 2: Convert to fraction form
    34,580/53,405 = 53,405/x
  3. Step 3: Cross multiply
    34,580x = 53,405 × 53,405
  4. Step 4: Simplify right side
    34,580x = 2,852,094,025
  5. Step 5: Solve for x
    x = 2,852,094,025/34,580
  6. Step 6: Final answer
    x = 82,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.