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Finding the Third Proportional to 90,839,475 and 197,012,007

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Solution

The third proportional to 90,839,475 and 197,012,007 is: 427,278,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,839,475 : 197,012,007 = 197,012,007 : x
  2. Step 2: Convert to fraction form
    90,839,475/197,012,007 = 197,012,007/x
  3. Step 3: Cross multiply
    90,839,475x = 197,012,007 × 197,012,007
  4. Step 4: Simplify right side
    90,839,475x = 38,813,730,902,168,048
  5. Step 5: Solve for x
    x = 38,813,730,902,168,048/90,839,475
  6. Step 6: Final answer
    x = 427,278,238.92

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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.