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Finding the Third Proportional to 45,732 and 100,209

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Solution

The third proportional to 45,732 and 100,209 is: 219,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,732 : 100,209 = 100,209 : x
  2. Step 2: Convert to fraction form
    45,732/100,209 = 100,209/x
  3. Step 3: Cross multiply
    45,732x = 100,209 × 100,209
  4. Step 4: Simplify right side
    45,732x = 10,041,843,681
  5. Step 5: Solve for x
    x = 10,041,843,681/45,732
  6. Step 6: Final answer
    x = 219,580.24

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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.