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Finding the Third Proportional to 420,878 and 631,803

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Solution

The third proportional to 420,878 and 631,803 is: 948,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,878 : 631,803 = 631,803 : x
  2. Step 2: Convert to fraction form
    420,878/631,803 = 631,803/x
  3. Step 3: Cross multiply
    420,878x = 631,803 × 631,803
  4. Step 4: Simplify right side
    420,878x = 399,175,030,809
  5. Step 5: Solve for x
    x = 399,175,030,809/420,878
  6. Step 6: Final answer
    x = 948,434.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.