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Finding the Third Proportional to 272,109 and 409,209

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Solution

The third proportional to 272,109 and 409,209 is: 615,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,109 : 409,209 = 409,209 : x
  2. Step 2: Convert to fraction form
    272,109/409,209 = 409,209/x
  3. Step 3: Cross multiply
    272,109x = 409,209 × 409,209
  4. Step 4: Simplify right side
    272,109x = 167,452,005,681
  5. Step 5: Solve for x
    x = 167,452,005,681/272,109
  6. Step 6: Final answer
    x = 615,385.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.