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Finding the Third Proportional to 423,628 and 622,470

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Solution

The third proportional to 423,628 and 622,470 is: 914,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,628 : 622,470 = 622,470 : x
  2. Step 2: Convert to fraction form
    423,628/622,470 = 622,470/x
  3. Step 3: Cross multiply
    423,628x = 622,470 × 622,470
  4. Step 4: Simplify right side
    423,628x = 387,468,900,900
  5. Step 5: Solve for x
    x = 387,468,900,900/423,628
  6. Step 6: Final answer
    x = 914,644.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.