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Finding the Third Proportional to 409,240 and 631,356

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Solution

The third proportional to 409,240 and 631,356 is: 974,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,240 : 631,356 = 631,356 : x
  2. Step 2: Convert to fraction form
    409,240/631,356 = 631,356/x
  3. Step 3: Cross multiply
    409,240x = 631,356 × 631,356
  4. Step 4: Simplify right side
    409,240x = 398,610,398,736
  5. Step 5: Solve for x
    x = 398,610,398,736/409,240
  6. Step 6: Final answer
    x = 974,026.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.