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Finding the Third Proportional to 60,580 and 128,504

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Solution

The third proportional to 60,580 and 128,504 is: 272,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,580 : 128,504 = 128,504 : x
  2. Step 2: Convert to fraction form
    60,580/128,504 = 128,504/x
  3. Step 3: Cross multiply
    60,580x = 128,504 × 128,504
  4. Step 4: Simplify right side
    60,580x = 16,513,278,016
  5. Step 5: Solve for x
    x = 16,513,278,016/60,580
  6. Step 6: Final answer
    x = 272,586.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.