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Finding the Third Proportional to 128,501.96 and 278,455.32

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Solution

The third proportional to 128,501.96 and 278,455.32 is: 603,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,501.96 : 278,455.32 = 278,455.32 : x
  2. Step 2: Convert to fraction form
    128,501.96/278,455.32 = 278,455.32/x
  3. Step 3: Cross multiply
    128,501.96x = 278,455.32 × 278,455.32
  4. Step 4: Simplify right side
    128,501.96x = 77,537,367,585.77
  5. Step 5: Solve for x
    x = 77,537,367,585.77/128,501.96
  6. Step 6: Final answer
    x = 603,394.41

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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.