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Finding the Third Proportional to 256,625,820 and 526,856,128

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Solution

The third proportional to 256,625,820 and 526,856,128 is: 1,081,642,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,625,820 : 526,856,128 = 526,856,128 : x
  2. Step 2: Convert to fraction form
    256,625,820/526,856,128 = 526,856,128/x
  3. Step 3: Cross multiply
    256,625,820x = 526,856,128 × 526,856,128
  4. Step 4: Simplify right side
    256,625,820x = 277,577,379,611,152,384
  5. Step 5: Solve for x
    x = 277,577,379,611,152,384/256,625,820
  6. Step 6: Final answer
    x = 1,081,642,445.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.