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Finding the Third Proportional to 401,870 and 547,278

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Solution

The third proportional to 401,870 and 547,278 is: 745,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,870 : 547,278 = 547,278 : x
  2. Step 2: Convert to fraction form
    401,870/547,278 = 547,278/x
  3. Step 3: Cross multiply
    401,870x = 547,278 × 547,278
  4. Step 4: Simplify right side
    401,870x = 299,513,209,284
  5. Step 5: Solve for x
    x = 299,513,209,284/401,870
  6. Step 6: Final answer
    x = 745,298.75

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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.