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Finding the Third Proportional to 256,500,442.50 and 538,195,125

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Solution

The third proportional to 256,500,442.50 and 538,195,125 is: 1,129,253,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500,442.50 : 538,195,125 = 538,195,125 : x
  2. Step 2: Convert to fraction form
    256,500,442.50/538,195,125 = 538,195,125/x
  3. Step 3: Cross multiply
    256,500,442.50x = 538,195,125 × 538,195,125
  4. Step 4: Simplify right side
    256,500,442.50x = 289,653,992,573,765,632
  5. Step 5: Solve for x
    x = 289,653,992,573,765,632/256,500,442.50
  6. Step 6: Final answer
    x = 1,129,253,383.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.