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Finding the Third Proportional to 257,139,370 and 388,027,599

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Solution

The third proportional to 257,139,370 and 388,027,599 is: 585,540,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139,370 : 388,027,599 = 388,027,599 : x
  2. Step 2: Convert to fraction form
    257,139,370/388,027,599 = 388,027,599/x
  3. Step 3: Cross multiply
    257,139,370x = 388,027,599 × 388,027,599
  4. Step 4: Simplify right side
    257,139,370x = 150,565,417,585,704,800
  5. Step 5: Solve for x
    x = 150,565,417,585,704,800/257,139,370
  6. Step 6: Final answer
    x = 585,540,120.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.