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Finding the Third Proportional to 417,392 and 626,174

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Solution

The third proportional to 417,392 and 626,174 is: 939,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,392 : 626,174 = 626,174 : x
  2. Step 2: Convert to fraction form
    417,392/626,174 = 626,174/x
  3. Step 3: Cross multiply
    417,392x = 626,174 × 626,174
  4. Step 4: Simplify right side
    417,392x = 392,093,878,276
  5. Step 5: Solve for x
    x = 392,093,878,276/417,392
  6. Step 6: Final answer
    x = 939,390.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.