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Finding the Third Proportional to 272,564 and 411,303

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Solution

The third proportional to 272,564 and 411,303 is: 620,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,564 : 411,303 = 411,303 : x
  2. Step 2: Convert to fraction form
    272,564/411,303 = 411,303/x
  3. Step 3: Cross multiply
    272,564x = 411,303 × 411,303
  4. Step 4: Simplify right side
    272,564x = 169,170,157,809
  5. Step 5: Solve for x
    x = 169,170,157,809/272,564
  6. Step 6: Final answer
    x = 620,662.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.