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Finding the Third Proportional to 409,755 and 620,346

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Solution

The third proportional to 409,755 and 620,346 is: 939,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,755 : 620,346 = 620,346 : x
  2. Step 2: Convert to fraction form
    409,755/620,346 = 620,346/x
  3. Step 3: Cross multiply
    409,755x = 620,346 × 620,346
  4. Step 4: Simplify right side
    409,755x = 384,829,159,716
  5. Step 5: Solve for x
    x = 384,829,159,716/409,755
  6. Step 6: Final answer
    x = 939,168.92

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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.