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Finding the Third Proportional to 411,362 and 621,426

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Solution

The third proportional to 411,362 and 621,426 is: 938,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,362 : 621,426 = 621,426 : x
  2. Step 2: Convert to fraction form
    411,362/621,426 = 621,426/x
  3. Step 3: Cross multiply
    411,362x = 621,426 × 621,426
  4. Step 4: Simplify right side
    411,362x = 386,170,273,476
  5. Step 5: Solve for x
    x = 386,170,273,476/411,362
  6. Step 6: Final answer
    x = 938,760.20

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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.