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Finding the Third Proportional to 280,399 and 423,943

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Solution

The third proportional to 280,399 and 423,943 is: 640,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,399 : 423,943 = 423,943 : x
  2. Step 2: Convert to fraction form
    280,399/423,943 = 423,943/x
  3. Step 3: Cross multiply
    280,399x = 423,943 × 423,943
  4. Step 4: Simplify right side
    280,399x = 179,727,667,249
  5. Step 5: Solve for x
    x = 179,727,667,249/280,399
  6. Step 6: Final answer
    x = 640,971.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.