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Finding the Third Proportional to 202,487 and 320,224

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Solution

The third proportional to 202,487 and 320,224 is: 506,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,487 : 320,224 = 320,224 : x
  2. Step 2: Convert to fraction form
    202,487/320,224 = 320,224/x
  3. Step 3: Cross multiply
    202,487x = 320,224 × 320,224
  4. Step 4: Simplify right side
    202,487x = 102,543,410,176
  5. Step 5: Solve for x
    x = 102,543,410,176/202,487
  6. Step 6: Final answer
    x = 506,419.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.