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Finding the Third Proportional to 128,352 and 278,088

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Solution

The third proportional to 128,352 and 278,088 is: 602,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,352 : 278,088 = 278,088 : x
  2. Step 2: Convert to fraction form
    128,352/278,088 = 278,088/x
  3. Step 3: Cross multiply
    128,352x = 278,088 × 278,088
  4. Step 4: Simplify right side
    128,352x = 77,332,935,744
  5. Step 5: Solve for x
    x = 77,332,935,744/128,352
  6. Step 6: Final answer
    x = 602,506.67

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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.