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Finding the Third Proportional to 317,451,862.50 and 438,660,756

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Solution

The third proportional to 317,451,862.50 and 438,660,756 is: 606,149,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,451,862.50 : 438,660,756 = 438,660,756 : x
  2. Step 2: Convert to fraction form
    317,451,862.50/438,660,756 = 438,660,756/x
  3. Step 3: Cross multiply
    317,451,862.50x = 438,660,756 × 438,660,756
  4. Step 4: Simplify right side
    317,451,862.50x = 192,423,258,854,491,520
  5. Step 5: Solve for x
    x = 192,423,258,854,491,520/317,451,862.50
  6. Step 6: Final answer
    x = 606,149,409.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.