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Finding the Third Proportional to 438,134,378.91 and 626,491,466.30

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Solution

The third proportional to 438,134,378.91 and 626,491,466.30 is: 895,824,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,134,378.91 : 626,491,466.30 = 626,491,466.30 : x
  2. Step 2: Convert to fraction form
    438,134,378.91/626,491,466.30 = 626,491,466.30/x
  3. Step 3: Cross multiply
    438,134,378.91x = 626,491,466.30 × 626,491,466.30
  4. Step 4: Simplify right side
    438,134,378.91x = 392,491,557,342,839,808
  5. Step 5: Solve for x
    x = 392,491,557,342,839,808/438,134,378.91
  6. Step 6: Final answer
    x = 895,824,605.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.