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Finding the Third Proportional to 401,854 and 545,770

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Solution

The third proportional to 401,854 and 545,770 is: 741,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,854 : 545,770 = 545,770 : x
  2. Step 2: Convert to fraction form
    401,854/545,770 = 545,770/x
  3. Step 3: Cross multiply
    401,854x = 545,770 × 545,770
  4. Step 4: Simplify right side
    401,854x = 297,864,892,900
  5. Step 5: Solve for x
    x = 297,864,892,900/401,854
  6. Step 6: Final answer
    x = 741,226.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.