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Finding the Third Proportional to 90,839,574 and 197,012,209.50

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Solution

The third proportional to 90,839,574 and 197,012,209.50 is: 427,278,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,839,574 : 197,012,209.50 = 197,012,209.50 : x
  2. Step 2: Convert to fraction form
    90,839,574/197,012,209.50 = 197,012,209.50/x
  3. Step 3: Cross multiply
    90,839,574x = 197,012,209.50 × 197,012,209.50
  4. Step 4: Simplify right side
    90,839,574x = 38,813,810,692,071,888
  5. Step 5: Solve for x
    x = 38,813,810,692,071,888/90,839,574
  6. Step 6: Final answer
    x = 427,278,651.62

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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.