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Finding the Third Proportional to 432,439 and 659,319

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Solution

The third proportional to 432,439 and 659,319 is: 1,005,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,439 : 659,319 = 659,319 : x
  2. Step 2: Convert to fraction form
    432,439/659,319 = 659,319/x
  3. Step 3: Cross multiply
    432,439x = 659,319 × 659,319
  4. Step 4: Simplify right side
    432,439x = 434,701,543,761
  5. Step 5: Solve for x
    x = 434,701,543,761/432,439
  6. Step 6: Final answer
    x = 1,005,232.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.