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Finding the Third Proportional to 403,786 and 626,981

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Solution

The third proportional to 403,786 and 626,981 is: 973,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,786 : 626,981 = 626,981 : x
  2. Step 2: Convert to fraction form
    403,786/626,981 = 626,981/x
  3. Step 3: Cross multiply
    403,786x = 626,981 × 626,981
  4. Step 4: Simplify right side
    403,786x = 393,105,174,361
  5. Step 5: Solve for x
    x = 393,105,174,361/403,786
  6. Step 6: Final answer
    x = 973,548.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.