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Finding the Third Proportional to 397,302 and 510,132

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Solution

The third proportional to 397,302 and 510,132 is: 655,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,302 : 510,132 = 510,132 : x
  2. Step 2: Convert to fraction form
    397,302/510,132 = 510,132/x
  3. Step 3: Cross multiply
    397,302x = 510,132 × 510,132
  4. Step 4: Simplify right side
    397,302x = 260,234,657,424
  5. Step 5: Solve for x
    x = 260,234,657,424/397,302
  6. Step 6: Final answer
    x = 655,004.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.