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Finding the Third Proportional to 101,507 and 218,566

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Solution

The third proportional to 101,507 and 218,566 is: 470,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,507 : 218,566 = 218,566 : x
  2. Step 2: Convert to fraction form
    101,507/218,566 = 218,566/x
  3. Step 3: Cross multiply
    101,507x = 218,566 × 218,566
  4. Step 4: Simplify right side
    101,507x = 47,771,096,356
  5. Step 5: Solve for x
    x = 47,771,096,356/101,507
  6. Step 6: Final answer
    x = 470,618.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.