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Finding the Third Proportional to 314,284.50 and 486,543.38

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Solution

The third proportional to 314,284.50 and 486,543.38 is: 753,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,284.50 : 486,543.38 = 486,543.38 : x
  2. Step 2: Convert to fraction form
    314,284.50/486,543.38 = 486,543.38/x
  3. Step 3: Cross multiply
    314,284.50x = 486,543.38 × 486,543.38
  4. Step 4: Simplify right side
    314,284.50x = 236,724,455,756.39
  5. Step 5: Solve for x
    x = 236,724,455,756.39/314,284.50
  6. Step 6: Final answer
    x = 753,217.09

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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.