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Finding the Third Proportional to 255,413,760 and 389,497,536

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Solution

The third proportional to 255,413,760 and 389,497,536 is: 593,970,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413,760 : 389,497,536 = 389,497,536 : x
  2. Step 2: Convert to fraction form
    255,413,760/389,497,536 = 389,497,536/x
  3. Step 3: Cross multiply
    255,413,760x = 389,497,536 × 389,497,536
  4. Step 4: Simplify right side
    255,413,760x = 151,708,330,550,071,296
  5. Step 5: Solve for x
    x = 151,708,330,550,071,296/255,413,760
  6. Step 6: Final answer
    x = 593,970,859.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.