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Finding the Third Proportional to 100,943 and 218,605

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Solution

The third proportional to 100,943 and 218,605 is: 473,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,943 : 218,605 = 218,605 : x
  2. Step 2: Convert to fraction form
    100,943/218,605 = 218,605/x
  3. Step 3: Cross multiply
    100,943x = 218,605 × 218,605
  4. Step 4: Simplify right side
    100,943x = 47,788,146,025
  5. Step 5: Solve for x
    x = 47,788,146,025/100,943
  6. Step 6: Final answer
    x = 473,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.