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Finding the Third Proportional to 393,628 and 626,643

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Solution

The third proportional to 393,628 and 626,643 is: 997,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,628 : 626,643 = 626,643 : x
  2. Step 2: Convert to fraction form
    393,628/626,643 = 626,643/x
  3. Step 3: Cross multiply
    393,628x = 626,643 × 626,643
  4. Step 4: Simplify right side
    393,628x = 392,681,449,449
  5. Step 5: Solve for x
    x = 392,681,449,449/393,628
  6. Step 6: Final answer
    x = 997,595.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.