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Finding the Third Proportional to 125,828 and 272,648

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Solution

The third proportional to 125,828 and 272,648 is: 590,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,828 : 272,648 = 272,648 : x
  2. Step 2: Convert to fraction form
    125,828/272,648 = 272,648/x
  3. Step 3: Cross multiply
    125,828x = 272,648 × 272,648
  4. Step 4: Simplify right side
    125,828x = 74,336,931,904
  5. Step 5: Solve for x
    x = 74,336,931,904/125,828
  6. Step 6: Final answer
    x = 590,782.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.