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Finding the Third Proportional to 411,402 and 621,489

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Solution

The third proportional to 411,402 and 621,489 is: 938,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,402 : 621,489 = 621,489 : x
  2. Step 2: Convert to fraction form
    411,402/621,489 = 621,489/x
  3. Step 3: Cross multiply
    411,402x = 621,489 × 621,489
  4. Step 4: Simplify right side
    411,402x = 386,248,577,121
  5. Step 5: Solve for x
    x = 386,248,577,121/411,402
  6. Step 6: Final answer
    x = 938,859.26

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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.