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Finding the Third Proportional to 125,088 and 289,338

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Solution

The third proportional to 125,088 and 289,338 is: 669,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,088 : 289,338 = 289,338 : x
  2. Step 2: Convert to fraction form
    125,088/289,338 = 289,338/x
  3. Step 3: Cross multiply
    125,088x = 289,338 × 289,338
  4. Step 4: Simplify right side
    125,088x = 83,716,478,244
  5. Step 5: Solve for x
    x = 83,716,478,244/125,088
  6. Step 6: Final answer
    x = 669,260.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.