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Finding the Third Proportional to 109,674,566,370 and 238,819,600,474

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Solution

The third proportional to 109,674,566,370 and 238,819,600,474 is: 520,036,718,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,674,566,370 : 238,819,600,474 = 238,819,600,474 : x
  2. Step 2: Convert to fraction form
    109,674,566,370/238,819,600,474 = 238,819,600,474/x
  3. Step 3: Cross multiply
    109,674,566,370x = 238,819,600,474 × 238,819,600,474
  4. Step 4: Simplify right side
    109,674,566,370x = 57,034,801,570,560,979,501,056
  5. Step 5: Solve for x
    x = 57,034,801,570,560,979,501,056/109,674,566,370
  6. Step 6: Final answer
    x = 520,036,718,250.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.