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Finding the Third Proportional to 125,138 and 272,308

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Solution

The third proportional to 125,138 and 272,308 is: 592,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,138 : 272,308 = 272,308 : x
  2. Step 2: Convert to fraction form
    125,138/272,308 = 272,308/x
  3. Step 3: Cross multiply
    125,138x = 272,308 × 272,308
  4. Step 4: Simplify right side
    125,138x = 74,151,646,864
  5. Step 5: Solve for x
    x = 74,151,646,864/125,138
  6. Step 6: Final answer
    x = 592,558.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.