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Finding the Third Proportional to 137,019,331,416 and 285,314,774,212

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Solution

The third proportional to 137,019,331,416 and 285,314,774,212 is: 594,109,747,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019,331,416 : 285,314,774,212 = 285,314,774,212 : x
  2. Step 2: Convert to fraction form
    137,019,331,416/285,314,774,212 = 285,314,774,212/x
  3. Step 3: Cross multiply
    137,019,331,416x = 285,314,774,212 × 285,314,774,212
  4. Step 4: Simplify right side
    137,019,331,416x = 81,404,520,383,644,537,192,448
  5. Step 5: Solve for x
    x = 81,404,520,383,644,537,192,448/137,019,331,416
  6. Step 6: Final answer
    x = 594,109,747,452.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.