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Finding the Third Proportional to 283,816 and 423,264

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Solution

The third proportional to 283,816 and 423,264 is: 631,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,816 : 423,264 = 423,264 : x
  2. Step 2: Convert to fraction form
    283,816/423,264 = 423,264/x
  3. Step 3: Cross multiply
    283,816x = 423,264 × 423,264
  4. Step 4: Simplify right side
    283,816x = 179,152,413,696
  5. Step 5: Solve for x
    x = 179,152,413,696/283,816
  6. Step 6: Final answer
    x = 631,227.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.