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Finding the Third Proportional to 257,852,448 and 399,850,128

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Solution

The third proportional to 257,852,448 and 399,850,128 is: 620,045,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,852,448 : 399,850,128 = 399,850,128 : x
  2. Step 2: Convert to fraction form
    257,852,448/399,850,128 = 399,850,128/x
  3. Step 3: Cross multiply
    257,852,448x = 399,850,128 × 399,850,128
  4. Step 4: Simplify right side
    257,852,448x = 159,880,124,861,616,384
  5. Step 5: Solve for x
    x = 159,880,124,861,616,384/257,852,448
  6. Step 6: Final answer
    x = 620,045,014.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.