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Finding the Third Proportional to 272,430 and 409,017

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Solution

The third proportional to 272,430 and 409,017 is: 614,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,430 : 409,017 = 409,017 : x
  2. Step 2: Convert to fraction form
    272,430/409,017 = 409,017/x
  3. Step 3: Cross multiply
    272,430x = 409,017 × 409,017
  4. Step 4: Simplify right side
    272,430x = 167,294,906,289
  5. Step 5: Solve for x
    x = 167,294,906,289/272,430
  6. Step 6: Final answer
    x = 614,084.01

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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.