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Finding the Third Proportional to 218,436,566 and 469,290,148

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Solution

The third proportional to 218,436,566 and 469,290,148 is: 1,008,225,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,436,566 : 469,290,148 = 469,290,148 : x
  2. Step 2: Convert to fraction form
    218,436,566/469,290,148 = 469,290,148/x
  3. Step 3: Cross multiply
    218,436,566x = 469,290,148 × 469,290,148
  4. Step 4: Simplify right side
    218,436,566x = 220,233,243,009,861,888
  5. Step 5: Solve for x
    x = 220,233,243,009,861,888/218,436,566
  6. Step 6: Final answer
    x = 1,008,225,165.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.