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Finding the Third Proportional to 434,540 and 626,899

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Solution

The third proportional to 434,540 and 626,899 is: 904,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,540 : 626,899 = 626,899 : x
  2. Step 2: Convert to fraction form
    434,540/626,899 = 626,899/x
  3. Step 3: Cross multiply
    434,540x = 626,899 × 626,899
  4. Step 4: Simplify right side
    434,540x = 393,002,356,201
  5. Step 5: Solve for x
    x = 393,002,356,201/434,540
  6. Step 6: Final answer
    x = 904,410.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.