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Finding the Third Proportional to 356,230 and 510,278

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Solution

The third proportional to 356,230 and 510,278 is: 730,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,230 : 510,278 = 510,278 : x
  2. Step 2: Convert to fraction form
    356,230/510,278 = 510,278/x
  3. Step 3: Cross multiply
    356,230x = 510,278 × 510,278
  4. Step 4: Simplify right side
    356,230x = 260,383,637,284
  5. Step 5: Solve for x
    x = 260,383,637,284/356,230
  6. Step 6: Final answer
    x = 730,942.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.