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Finding the Third Proportional to 238,575,856 and 521,810,144

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Solution

The third proportional to 238,575,856 and 521,810,144 is: 1,141,296,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,575,856 : 521,810,144 = 521,810,144 : x
  2. Step 2: Convert to fraction form
    238,575,856/521,810,144 = 521,810,144/x
  3. Step 3: Cross multiply
    238,575,856x = 521,810,144 × 521,810,144
  4. Step 4: Simplify right side
    238,575,856x = 272,285,826,381,300,736
  5. Step 5: Solve for x
    x = 272,285,826,381,300,736/238,575,856
  6. Step 6: Final answer
    x = 1,141,296,654.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.