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Finding the Third Proportional to 287,418 and 593,286

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Solution

The third proportional to 287,418 and 593,286 is: 1,224,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,418 : 593,286 = 593,286 : x
  2. Step 2: Convert to fraction form
    287,418/593,286 = 593,286/x
  3. Step 3: Cross multiply
    287,418x = 593,286 × 593,286
  4. Step 4: Simplify right side
    287,418x = 351,988,277,796
  5. Step 5: Solve for x
    x = 351,988,277,796/287,418
  6. Step 6: Final answer
    x = 1,224,656.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.