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Finding the Third Proportional to 306,758 and 716,450

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Solution

The third proportional to 306,758 and 716,450 is: 1,673,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,758 : 716,450 = 716,450 : x
  2. Step 2: Convert to fraction form
    306,758/716,450 = 716,450/x
  3. Step 3: Cross multiply
    306,758x = 716,450 × 716,450
  4. Step 4: Simplify right side
    306,758x = 513,300,602,500
  5. Step 5: Solve for x
    x = 513,300,602,500/306,758
  6. Step 6: Final answer
    x = 1,673,307.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.