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Finding the Third Proportional to 356,235 and 510,286.50

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Solution

The third proportional to 356,235 and 510,286.50 is: 730,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,235 : 510,286.50 = 510,286.50 : x
  2. Step 2: Convert to fraction form
    356,235/510,286.50 = 510,286.50/x
  3. Step 3: Cross multiply
    356,235x = 510,286.50 × 510,286.50
  4. Step 4: Simplify right side
    356,235x = 260,392,312,082.25
  5. Step 5: Solve for x
    x = 260,392,312,082.25/356,235
  6. Step 6: Final answer
    x = 730,956.57

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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.