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Finding the Third Proportional to 401,878 and 547,290

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Solution

The third proportional to 401,878 and 547,290 is: 745,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,878 : 547,290 = 547,290 : x
  2. Step 2: Convert to fraction form
    401,878/547,290 = 547,290/x
  3. Step 3: Cross multiply
    401,878x = 547,290 × 547,290
  4. Step 4: Simplify right side
    401,878x = 299,526,344,100
  5. Step 5: Solve for x
    x = 299,526,344,100/401,878
  6. Step 6: Final answer
    x = 745,316.60

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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.