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Finding the Third Proportional to 317,722.50 and 486,729

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Solution

The third proportional to 317,722.50 and 486,729 is: 745,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,722.50 : 486,729 = 486,729 : x
  2. Step 2: Convert to fraction form
    317,722.50/486,729 = 486,729/x
  3. Step 3: Cross multiply
    317,722.50x = 486,729 × 486,729
  4. Step 4: Simplify right side
    317,722.50x = 236,905,119,441
  5. Step 5: Solve for x
    x = 236,905,119,441/317,722.50
  6. Step 6: Final answer
    x = 745,635.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.