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Finding the Third Proportional to 417,816 and 609,228

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Solution

The third proportional to 417,816 and 609,228 is: 888,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,816 : 609,228 = 609,228 : x
  2. Step 2: Convert to fraction form
    417,816/609,228 = 609,228/x
  3. Step 3: Cross multiply
    417,816x = 609,228 × 609,228
  4. Step 4: Simplify right side
    417,816x = 371,158,755,984
  5. Step 5: Solve for x
    x = 371,158,755,984/417,816
  6. Step 6: Final answer
    x = 888,330.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.