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Finding the Third Proportional to 128,085.47 and 278,319.38

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Solution

The third proportional to 128,085.47 and 278,319.38 is: 604,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,085.47 : 278,319.38 = 278,319.38 : x
  2. Step 2: Convert to fraction form
    128,085.47/278,319.38 = 278,319.38/x
  3. Step 3: Cross multiply
    128,085.47x = 278,319.38 × 278,319.38
  4. Step 4: Simplify right side
    128,085.47x = 77,461,674,500.39
  5. Step 5: Solve for x
    x = 77,461,674,500.39/128,085.47
  6. Step 6: Final answer
    x = 604,765.52

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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.