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Finding the Third Proportional to 356,236 and 510,288

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Solution

The third proportional to 356,236 and 510,288 is: 730,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,236 : 510,288 = 510,288 : x
  2. Step 2: Convert to fraction form
    356,236/510,288 = 510,288/x
  3. Step 3: Cross multiply
    356,236x = 510,288 × 510,288
  4. Step 4: Simplify right side
    356,236x = 260,393,842,944
  5. Step 5: Solve for x
    x = 260,393,842,944/356,236
  6. Step 6: Final answer
    x = 730,958.81

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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.