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Finding the Third Proportional to 309,451 and 417,520

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Solution

The third proportional to 309,451 and 417,520 is: 563,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,451 : 417,520 = 417,520 : x
  2. Step 2: Convert to fraction form
    309,451/417,520 = 417,520/x
  3. Step 3: Cross multiply
    309,451x = 417,520 × 417,520
  4. Step 4: Simplify right side
    309,451x = 174,322,950,400
  5. Step 5: Solve for x
    x = 174,322,950,400/309,451
  6. Step 6: Final answer
    x = 563,329.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.