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Finding the Third Proportional to 255,205,686 and 395,931,012

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Solution

The third proportional to 255,205,686 and 395,931,012 is: 614,254,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205,686 : 395,931,012 = 395,931,012 : x
  2. Step 2: Convert to fraction form
    255,205,686/395,931,012 = 395,931,012/x
  3. Step 3: Cross multiply
    255,205,686x = 395,931,012 × 395,931,012
  4. Step 4: Simplify right side
    255,205,686x = 156,761,366,263,344,128
  5. Step 5: Solve for x
    x = 156,761,366,263,344,128/255,205,686
  6. Step 6: Final answer
    x = 614,254,990.63

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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.