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Finding the Third Proportional to 60,313 and 128,920

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Solution

The third proportional to 60,313 and 128,920 is: 275,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,313 : 128,920 = 128,920 : x
  2. Step 2: Convert to fraction form
    60,313/128,920 = 128,920/x
  3. Step 3: Cross multiply
    60,313x = 128,920 × 128,920
  4. Step 4: Simplify right side
    60,313x = 16,620,366,400
  5. Step 5: Solve for x
    x = 16,620,366,400/60,313
  6. Step 6: Final answer
    x = 275,568.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.