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Finding the Third Proportional to 431,270 and 626,821

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Solution

The third proportional to 431,270 and 626,821 is: 911,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,270 : 626,821 = 626,821 : x
  2. Step 2: Convert to fraction form
    431,270/626,821 = 626,821/x
  3. Step 3: Cross multiply
    431,270x = 626,821 × 626,821
  4. Step 4: Simplify right side
    431,270x = 392,904,566,041
  5. Step 5: Solve for x
    x = 392,904,566,041/431,270
  6. Step 6: Final answer
    x = 911,040.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.