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Finding the Third Proportional to 99,802,388 and 218,418,786

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Solution

The third proportional to 99,802,388 and 218,418,786 is: 478,012,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802,388 : 218,418,786 = 218,418,786 : x
  2. Step 2: Convert to fraction form
    99,802,388/218,418,786 = 218,418,786/x
  3. Step 3: Cross multiply
    99,802,388x = 218,418,786 × 218,418,786
  4. Step 4: Simplify right side
    99,802,388x = 47,706,766,077,713,792
  5. Step 5: Solve for x
    x = 47,706,766,077,713,792/99,802,388
  6. Step 6: Final answer
    x = 478,012,270.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.