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Finding the Third Proportional to 100,010 and 218,701

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Solution

The third proportional to 100,010 and 218,701 is: 478,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010 : 218,701 = 218,701 : x
  2. Step 2: Convert to fraction form
    100,010/218,701 = 218,701/x
  3. Step 3: Cross multiply
    100,010x = 218,701 × 218,701
  4. Step 4: Simplify right side
    100,010x = 47,830,127,401
  5. Step 5: Solve for x
    x = 47,830,127,401/100,010
  6. Step 6: Final answer
    x = 478,253.45

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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.