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Finding the Third Proportional to 128,496 and 272,544

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Solution

The third proportional to 128,496 and 272,544 is: 578,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,496 : 272,544 = 272,544 : x
  2. Step 2: Convert to fraction form
    128,496/272,544 = 272,544/x
  3. Step 3: Cross multiply
    128,496x = 272,544 × 272,544
  4. Step 4: Simplify right side
    128,496x = 74,280,231,936
  5. Step 5: Solve for x
    x = 74,280,231,936/128,496
  6. Step 6: Final answer
    x = 578,074.27

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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.