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Finding the Third Proportional to 402,374 and 603,609

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Solution

The third proportional to 402,374 and 603,609 is: 905,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,374 : 603,609 = 603,609 : x
  2. Step 2: Convert to fraction form
    402,374/603,609 = 603,609/x
  3. Step 3: Cross multiply
    402,374x = 603,609 × 603,609
  4. Step 4: Simplify right side
    402,374x = 364,343,824,881
  5. Step 5: Solve for x
    x = 364,343,824,881/402,374
  6. Step 6: Final answer
    x = 905,485.51

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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.