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Finding the Third Proportional to 279,577,605.38 and 437,619,110.06

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Solution

The third proportional to 279,577,605.38 and 437,619,110.06 is: 684,999,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,577,605.38 : 437,619,110.06 = 437,619,110.06 : x
  2. Step 2: Convert to fraction form
    279,577,605.38/437,619,110.06 = 437,619,110.06/x
  3. Step 3: Cross multiply
    279,577,605.38x = 437,619,110.06 × 437,619,110.06
  4. Step 4: Simplify right side
    279,577,605.38x = 191,510,485,491,894,496
  5. Step 5: Solve for x
    x = 191,510,485,491,894,496/279,577,605.38
  6. Step 6: Final answer
    x = 684,999,376.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.