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Finding the Third Proportional to 418,379,450 and 912,090,741

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Solution

The third proportional to 418,379,450 and 912,090,741 is: 1,988,409,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,379,450 : 912,090,741 = 912,090,741 : x
  2. Step 2: Convert to fraction form
    418,379,450/912,090,741 = 912,090,741/x
  3. Step 3: Cross multiply
    418,379,450x = 912,090,741 × 912,090,741
  4. Step 4: Simplify right side
    418,379,450x = 831,909,519,817,929,088
  5. Step 5: Solve for x
    x = 831,909,519,817,929,088/418,379,450
  6. Step 6: Final answer
    x = 1,988,409,133.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.