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Finding the Third Proportional to 128,501.33 and 278,454.06

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Solution

The third proportional to 128,501.33 and 278,454.06 is: 603,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,501.33 : 278,454.06 = 278,454.06 : x
  2. Step 2: Convert to fraction form
    128,501.33/278,454.06 = 278,454.06/x
  3. Step 3: Cross multiply
    128,501.33x = 278,454.06 × 278,454.06
  4. Step 4: Simplify right side
    128,501.33x = 77,536,662,747.33
  5. Step 5: Solve for x
    x = 77,536,662,747.33/128,501.33
  6. Step 6: Final answer
    x = 603,391.90

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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.