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Finding the Third Proportional to 409,368 and 620,412

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Solution

The third proportional to 409,368 and 620,412 is: 940,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,368 : 620,412 = 620,412 : x
  2. Step 2: Convert to fraction form
    409,368/620,412 = 620,412/x
  3. Step 3: Cross multiply
    409,368x = 620,412 × 620,412
  4. Step 4: Simplify right side
    409,368x = 384,911,049,744
  5. Step 5: Solve for x
    x = 384,911,049,744/409,368
  6. Step 6: Final answer
    x = 940,256.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.