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Finding the Third Proportional to 409,492 and 631,732

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Solution

The third proportional to 409,492 and 631,732 is: 974,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,492 : 631,732 = 631,732 : x
  2. Step 2: Convert to fraction form
    409,492/631,732 = 631,732/x
  3. Step 3: Cross multiply
    409,492x = 631,732 × 631,732
  4. Step 4: Simplify right side
    409,492x = 399,085,319,824
  5. Step 5: Solve for x
    x = 399,085,319,824/409,492
  6. Step 6: Final answer
    x = 974,586.37

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