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Finding the Third Proportional to 279,507 and 603,276

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Solution

The third proportional to 279,507 and 603,276 is: 1,302,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,507 : 603,276 = 603,276 : x
  2. Step 2: Convert to fraction form
    279,507/603,276 = 603,276/x
  3. Step 3: Cross multiply
    279,507x = 603,276 × 603,276
  4. Step 4: Simplify right side
    279,507x = 363,941,932,176
  5. Step 5: Solve for x
    x = 363,941,932,176/279,507
  6. Step 6: Final answer
    x = 1,302,085.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.