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Finding the Third Proportional to 128,764,839.38 and 278,905,416.75

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Solution

The third proportional to 128,764,839.38 and 278,905,416.75 is: 604,110,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,764,839.38 : 278,905,416.75 = 278,905,416.75 : x
  2. Step 2: Convert to fraction form
    128,764,839.38/278,905,416.75 = 278,905,416.75/x
  3. Step 3: Cross multiply
    128,764,839.38x = 278,905,416.75 × 278,905,416.75
  4. Step 4: Simplify right side
    128,764,839.38x = 77,788,231,492,491,184
  5. Step 5: Solve for x
    x = 77,788,231,492,491,184/128,764,839.38
  6. Step 6: Final answer
    x = 604,110,810.61

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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.