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Finding the Third Proportional to 314,478.50 and 418,986.50

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Solution

The third proportional to 314,478.50 and 418,986.50 is: 558,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,478.50 : 418,986.50 = 418,986.50 : x
  2. Step 2: Convert to fraction form
    314,478.50/418,986.50 = 418,986.50/x
  3. Step 3: Cross multiply
    314,478.50x = 418,986.50 × 418,986.50
  4. Step 4: Simplify right side
    314,478.50x = 175,549,687,182.25
  5. Step 5: Solve for x
    x = 175,549,687,182.25/314,478.50
  6. Step 6: Final answer
    x = 558,224.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.