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Finding the Third Proportional to 314,270 and 486,523

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Solution

The third proportional to 314,270 and 486,523 is: 753,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,270 : 486,523 = 486,523 : x
  2. Step 2: Convert to fraction form
    314,270/486,523 = 486,523/x
  3. Step 3: Cross multiply
    314,270x = 486,523 × 486,523
  4. Step 4: Simplify right side
    314,270x = 236,704,629,529
  5. Step 5: Solve for x
    x = 236,704,629,529/314,270
  6. Step 6: Final answer
    x = 753,188.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.