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Finding the Third Proportional to 418,379,505 and 912,090,873

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Solution

The third proportional to 418,379,505 and 912,090,873 is: 1,988,409,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,379,505 : 912,090,873 = 912,090,873 : x
  2. Step 2: Convert to fraction form
    418,379,505/912,090,873 = 912,090,873/x
  3. Step 3: Cross multiply
    418,379,505x = 912,090,873 × 912,090,873
  4. Step 4: Simplify right side
    418,379,505x = 831,909,760,609,902,080
  5. Step 5: Solve for x
    x = 831,909,760,609,902,080/418,379,505
  6. Step 6: Final answer
    x = 1,988,409,448.04

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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.