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Finding the Third Proportional to 247,113 and 538,578

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Solution

The third proportional to 247,113 and 538,578 is: 1,173,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,113 : 538,578 = 538,578 : x
  2. Step 2: Convert to fraction form
    247,113/538,578 = 538,578/x
  3. Step 3: Cross multiply
    247,113x = 538,578 × 538,578
  4. Step 4: Simplify right side
    247,113x = 290,066,262,084
  5. Step 5: Solve for x
    x = 290,066,262,084/247,113
  6. Step 6: Final answer
    x = 1,173,820.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.