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Finding the Third Proportional to 421,074 and 609,498

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Solution

The third proportional to 421,074 and 609,498 is: 882,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,074 : 609,498 = 609,498 : x
  2. Step 2: Convert to fraction form
    421,074/609,498 = 609,498/x
  3. Step 3: Cross multiply
    421,074x = 609,498 × 609,498
  4. Step 4: Simplify right side
    421,074x = 371,487,812,004
  5. Step 5: Solve for x
    x = 371,487,812,004/421,074
  6. Step 6: Final answer
    x = 882,238.78

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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.