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Finding the Third Proportional to 192,795,440 and 423,849,808

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Solution

The third proportional to 192,795,440 and 423,849,808 is: 931,809,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,795,440 : 423,849,808 = 423,849,808 : x
  2. Step 2: Convert to fraction form
    192,795,440/423,849,808 = 423,849,808/x
  3. Step 3: Cross multiply
    192,795,440x = 423,849,808 × 423,849,808
  4. Step 4: Simplify right side
    192,795,440x = 179,648,659,741,636,864
  5. Step 5: Solve for x
    x = 179,648,659,741,636,864/192,795,440
  6. Step 6: Final answer
    x = 931,809,692.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.