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Finding the Third Proportional to 60,313 and 128,641

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Solution

The third proportional to 60,313 and 128,641 is: 274,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,313 : 128,641 = 128,641 : x
  2. Step 2: Convert to fraction form
    60,313/128,641 = 128,641/x
  3. Step 3: Cross multiply
    60,313x = 128,641 × 128,641
  4. Step 4: Simplify right side
    60,313x = 16,548,506,881
  5. Step 5: Solve for x
    x = 16,548,506,881/60,313
  6. Step 6: Final answer
    x = 274,377.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.