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Finding the Third Proportional to 94,538,450,502 and 204,765,074,316

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Solution

The third proportional to 94,538,450,502 and 204,765,074,316 is: 443,509,867,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,538,450,502 : 204,765,074,316 = 204,765,074,316 : x
  2. Step 2: Convert to fraction form
    94,538,450,502/204,765,074,316 = 204,765,074,316/x
  3. Step 3: Cross multiply
    94,538,450,502x = 204,765,074,316 × 204,765,074,316
  4. Step 4: Simplify right side
    94,538,450,502x = 41,928,735,659,637,006,663,680
  5. Step 5: Solve for x
    x = 41,928,735,659,637,006,663,680/94,538,450,502
  6. Step 6: Final answer
    x = 443,509,867,540.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.